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References

837 bibliography records ground the catalog in original papers, established surveys and monographs, institutional problem lists, and formal-proof archives.

Complete bibliography

837 records

  1. Hartshorne1974SmallCodimension

    Varieties of small codimension in projective space

    Robin Hartshorne · 1974 · misc

    Robin Hartshorne, “Varieties of small codimension in projective space,” Bulletin of the AMS 80 (1974), 1017–1032, DOI: 10.1090/S0002-9904-1974-13613-1.

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  2. Hassett2000SpecialCubic

    Special cubic fourfolds

    Brendan Hassett · 2000 · misc

    Brendan Hassett, “Special cubic fourfolds,” Compositio Mathematica 120 (2000), 1–23, DOI: 10.1023/A:1001706324425.

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  3. Helfgott2015Ternary

    The ternary Goldbach conjecture is true

    Harald A. Helfgott · 1501 · misc

    Harald A. Helfgott, “The ternary Goldbach conjecture is true,” arXiv:1312.7748; expanded account arXiv:1501.05438, https://arxiv.org/abs/1501.05438

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  4. Hilbert1892Zahlbericht

    Über die Irreduzibilität ganzer rationaler Funktionen mit ganzzahligen Koeffizienten

    David Hilbert · 1892 · misc

    David Hilbert, “Über die Irreduzibilität ganzer rationaler Funktionen mit ganzzahligen Koeffizienten,” Journal für die reine und angewandte Mathematik 110 (1892), 104–129, DOI: 10.1515/crll.1892.110.104.

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  5. Hironaka1964Resolution

    Resolution of singularities of an algebraic variety over a field of characteristic zero, I–II

    Heisuke Hironaka · 1964 · misc

    Heisuke Hironaka, “Resolution of singularities of an algebraic variety over a field of characteristic zero, I–II,” Annals of Mathematics 79 (1964), 109–326, DOI: 10.2307/1970486 and 10.2307/1970547.

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  6. Hironaka2009Lehmer

    What is … Lehmer’s number?

    Eriko Hironaka · 2009 · misc

    Eriko Hironaka, “What is … Lehmer’s number?” Notices of the AMS 56 (2009), 374–375, https://www.ams.org/notices/200903/rtx090300374p.pdf

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  7. Hodge1950

    The topological invariants of algebraic varieties

    W. V. D. Hodge · 1952 · misc

    W. V. D. Hodge, “The topological invariants of algebraic varieties,” in Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 1 (1952), 182–192.

  8. Hooley1967Artin

    On Artin’s conjecture

    Christopher Hooley · 1967 · misc

    Christopher Hooley, “On Artin’s conjecture,” Journal für die reine und angewandte Mathematik 225 (1967), 209–220, DOI: 10.1515/crll.1967.225.209.

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  9. Huxley2003Lattice

    Exponential sums and lattice points III

    M. N. Huxley · 2003 · misc

    M. N. Huxley, “Exponential sums and lattice points III,” Proceedings of the London Mathematical Society 87 (2003), 591–609, DOI: 10.1112/S0024611503014485.

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  10. Huybrechts2025K3Cubic

    The K3 category of a cubic fourfold: an update

    Daniel Huybrechts · 2025 · misc

    Daniel Huybrechts, “The K3 category of a cubic fourfold: an update,” Beiträge zur Algebra und Geometrie (2025), DOI: 10.1007/s13366-025-00788-9.

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  11. IonescuRusso2012Hartshorne

    Conic-connected manifolds

    Paltin Ionescu and Francesco Russo · 2010 · misc

    Paltin Ionescu and Francesco Russo, “Conic-connected manifolds,” Journal für die reine und angewandte Mathematik 644 (2010), 145–157, DOI: 10.1515/CRELLE.2010.057.

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  12. Ivic1985Zeta

    The Riemann Zeta-Function

    Aleksandar Ivić · 1985 · misc

    Aleksandar Ivić, The Riemann Zeta-Function, Wiley (1985; Dover reprint 2003), ISBN 978-0-486-42813-0.

  13. Iwaniec1978Quadratic

    Almost-primes represented by quadratic polynomials

    Henryk Iwaniec · 1978 · misc

    Henryk Iwaniec, “Almost-primes represented by quadratic polynomials,” Inventiones Mathematicae 47 (1978), 171–188, DOI: 10.1007/BF01578070.

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  14. Iwaniec1995Spectral

    Introduction to the Spectral Theory of Automorphic Forms

    Henryk Iwaniec · 1995 · misc

    Henryk Iwaniec, Introduction to the Spectral Theory of Automorphic Forms, Revista Matemática Iberoamericana (1995), ISBN 84-605-2675-4.

  15. IwaniecKowalski2004

    Analytic Number Theory

    Henryk Iwaniec and Emmanuel Kowalski · 2004 · misc

    Henryk Iwaniec and Emmanuel Kowalski, Analytic Number Theory, AMS Colloquium Publications 53 (2004), DOI: 10.1090/coll/053.

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  16. IzquierdoLucchiniArteche2025

    Transfer principles for Galois cohomology and Serre’s conjecture II

    Diego Izquierdo and Giancarlo Lucchini Arteche · 2025 · misc

    Diego Izquierdo and Giancarlo Lucchini Arteche, “Transfer principles for Galois cohomology and Serre’s conjecture II,” Advances in Mathematics 480 (2025), 110532, DOI: 10.1016/j.aim.2025.110532, arXiv:2308.00903.

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  17. JacobianCounterexampleAFP2026

    Formal Verification of an Explicit Counterexample to the Jacobian Conjecture

    Arthur Freitas Ramos and David Barros Hulak and Ruy Jose Guerra Barretto de Queiroz · 2026 · misc

    Arthur Freitas Ramos, David Barros Hulak, and Ruy Jose Guerra Barretto de Queiroz, “Formal Verification of an Explicit Counterexample to the Jacobian Conjecture,” Archive of Formal Proofs, July 20, 2026, https://isa-afp.org/entries/Jacobian_Counterexample.html

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  18. JahnkeSimon2016NIP

    NIP henselian valued fields

    Franziska Jahnke and Pierre Simon · 2020 · misc

    Franziska Jahnke and Pierre Simon, “NIP henselian valued fields,” Archive for Mathematical Logic 59 (2020), 167–178, DOI: 10.1007/s00153-019-00690-7, arXiv:1606.08472.

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  19. JohnsonTranWalsbergYe2022

    The étale-open topology and the stable fields conjecture

    Will Johnson, Chieu-Minh Tran, Erik Walsberg, and Jinhe Ye · 2024 · misc

    Will Johnson, Chieu-Minh Tran, Erik Walsberg, and Jinhe Ye, “The étale-open topology and the stable fields conjecture,” Journal of the European Mathematical Society 26 (2024), 297–322, DOI: 10.4171/JEMS/1280, arXiv:2009.02319.

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  20. Kaplansky1957Problems

    Problems in the theory of rings

    Irving Kaplansky · 1957 · misc

    Irving Kaplansky, “Problems in the theory of rings,” report of a 1949 conference, National Research Council Publication 502 (1957), 1–3.

  21. Kaplansky1969FieldsRings

    Fields and Rings

    Irving Kaplansky · 1969 · misc

    Irving Kaplansky, Fields and Rings, University of Chicago Press (1969).

  22. Katz1972PCurvature

    Algebraic solutions of differential equations (pp-curvature and the Hodge filtration)

    Nicholas M. Katz · 1972 · misc

    Nicholas M. Katz, “Algebraic solutions of differential equations (pp-curvature and the Hodge filtration),” Inventiones Mathematicae 18 (1972), 1–118, DOI: 10.1007/BF01389714.

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  23. Katz1986RationalCurves

    On the finiteness of rational curves on quintic threefolds

    Sheldon Katz · 1986 · misc

    Sheldon Katz, “On the finiteness of rational curves on quintic threefolds,” Compositio Mathematica 60 (1986), 151–162, http://www.numdam.org/item/CM_1986__60_2_151_0/

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  24. Kawamata1985Pluricanonical

    Pluricanonical systems on minimal algebraic varieties

    Yujiro Kawamata · 1985 · misc

    Yujiro Kawamata, “Pluricanonical systems on minimal algebraic varieties,” Inventiones Mathematicae 79 (1985), 567–588, DOI: 10.1007/BF01388524.

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  25. Kawamata1992Abundance

    Abundance theorem for minimal threefolds

    Yujiro Kawamata · 1992 · misc

    Yujiro Kawamata, “Abundance theorem for minimal threefolds,” Inventiones Mathematicae 108 (1992), 229–246, DOI: 10.1007/BF02100605.

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  26. Kawamata1997Cone

    On the cone of divisors of Calabi–Yau fiber spaces

    Yujiro Kawamata · 1997 · misc

    Yujiro Kawamata, “On the cone of divisors of Calabi–Yau fiber spaces,” International Journal of Mathematics 8 (1997), 665–687, DOI: 10.1142/S0129167X97000384.

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  27. KechrisMoschovakis1978VictoriaDelfino

    Appendix: The Victoria Delfino problems

    Alexander S. Kechris and Yiannis N. Moschovakis, eds. · 1978 · misc

    Alexander S. Kechris and Yiannis N. Moschovakis, eds., “Appendix: The Victoria Delfino problems,” in Cabal Seminar 76–77, Lecture Notes in Mathematics 689, Springer (1978), 279–282, DOI: 10.1007/BFb0069293.

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  28. Keller1939

    Ganze Cremona-Transformationen

    Ott-Heinrich Keller · 1939 · misc

    Ott-Heinrich Keller, “Ganze Cremona-Transformationen,” Monatshefte für Mathematik und Physik 47 (1939), 299–306, DOI: 10.1007/BF01695502.

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  29. KimSarnak2003

    Functoriality for the exterior square of GL4\mathrm{GL}_4 and the symmetric fourth of GL2\mathrm{GL}_2

    Henry H. Kim · 2003 · misc

    Henry H. Kim, “Functoriality for the exterior square of GL4\mathrm{GL}_4 and the symmetric fourth of GL2\mathrm{GL}_2,” with Appendix 2 by Kim and Peter Sarnak, Journal of the AMS 16 (2003), 139–183, DOI: 10.1090/S0894-0347-02-00410-1.

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  30. Kisin2009FontaineMazur

    The Fontaine–Mazur conjecture for GL2\mathrm{GL}_2

    Mark Kisin · 2009 · misc

    Mark Kisin, “The Fontaine–Mazur conjecture for GL2\mathrm{GL}_2,” Journal of the AMS 22 (2009), 641–690, DOI: 10.1090/S0894-0347-09-00628-6.

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  31. Kleiman1968Standard

    Algebraic cycles and the Weil conjectures

    Steven L. Kleiman · 1968 · misc

    Steven L. Kleiman, “Algebraic cycles and the Weil conjectures,” in Dix exposés sur la cohomologie des schémas, North-Holland (1968), 359–386.

  32. Koenigsmann2016ZDefinable

    Defining Z\mathbb Z in Q\mathbb Q

    Jochen Koenigsmann · 2016 · misc

    Jochen Koenigsmann, “Defining Z\mathbb Z in Q\mathbb Q,” Annals of Mathematics 183 (2016), 73–93, DOI: 10.4007/annals.2016.183.1.2, arXiv:1011.3424.

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  33. KollarMori1998Birational

    Birational Geometry of Algebraic Varieties

    János Kollár and Shigefumi Mori · 1998 · misc

    János Kollár and Shigefumi Mori, Birational Geometry of Algebraic Varieties, Cambridge Tracts 134 (1998), DOI: 10.1017/CBO9780511662560.

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  34. Kothe1930

    Die Struktur der Ringe, deren Restklassenring nach dem Radikal vollständig reduzibel ist

    Gottfried Köthe · 1930 · misc

    Gottfried Köthe, “Die Struktur der Ringe, deren Restklassenring nach dem Radikal vollständig reduzibel ist,” Mathematische Zeitschrift 32 (1930), 161–186, DOI: 10.1007/BF01194626.

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  35. Kuelshammer1990Donovan

    Crossed products and blocks with normal defect groups

    Burkhard Külshammer · 1985 · misc

    Burkhard Külshammer, “Crossed products and blocks with normal defect groups,” Communications in Algebra 13 (1985), 147–168, DOI: 10.1080/00927878508823154.

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  36. Kuznetsov2010Cubic

    Derived categories of cubic fourfolds

    Alexander Kuznetsov · 2010 · misc

    Alexander Kuznetsov, “Derived categories of cubic fourfolds,” in Cohomological and Geometric Approaches to Rationality Problems, Progress in Mathematics 282 (2010), 219–243, DOI: 10.1007/978-0-8176-4934-0_9, arXiv:0808.3351.

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  37. Lagarias1985Collatz

    The 3x+13x+1 problem and its generalizations

    Jeffrey C. Lagarias · 1985 · misc

    Jeffrey C. Lagarias, “The 3x+13x+1 problem and its generalizations,” American Mathematical Monthly 92 (1985), 3–23, DOI: 10.2307/2322189.

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  38. Lagarias2010CollatzBook

    The Ultimate Challenge: The 3x+13x+1 Problem

    Jeffrey C. Lagarias, ed. · 2010 · misc

    Jeffrey C. Lagarias, ed., The Ultimate Challenge: The 3x+13x+1 Problem, AMS (2010), DOI: 10.1090/mbk/078.

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  39. LaishramPrasad2025

    Lower bounds for the Mahler measure and inertia degrees of primes

    Shanta Laishram and Gorekh Prasad · 2025 · misc

    Shanta Laishram and Gorekh Prasad, “Lower bounds for the Mahler measure and inertia degrees of primes,” Bulletin of the Australian Mathematical Society 112 (2025), DOI: 10.1017/S0004972724001084.

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  40. Lam2001Noncommutative

    A First Course in Noncommutative Rings

    T. Y. Lam · 2001 · misc

    T. Y. Lam, A First Course in Noncommutative Rings, 2nd ed., Graduate Texts in Mathematics 131, Springer (2001), DOI: 10.1007/978-1-4419-8616-0.

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  41. LamLitt2026PCurvature

    pp-Curvature and Non-Abelian Cohomology

    Yeuk Hay Joshua Lam and Daniel Litt · 2026 · misc

    Yeuk Hay Joshua Lam and Daniel Litt, “pp-Curvature and Non-Abelian Cohomology,” arXiv:2601.07933 (2026), https://arxiv.org/abs/2601.07933

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  42. Landau1912Problems

    Gelöste und ungelöste Probleme aus der Theorie der Primzahlverteilung und der Riemannschen Zetafunktion

    Edmund Landau · 1912 · misc

    Edmund Landau, “Gelöste und ungelöste Probleme aus der Theorie der Primzahlverteilung und der Riemannschen Zetafunktion,” in Proceedings of the Fifth International Congress of Mathematicians, vol. 1 (1912), 93–108, https://www.mathunion.org/fileadmin/ICM/Proceedings/ICM1912.1/

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  43. Lang1966Transcendental

    Introduction to Transcendental Numbers

    Serge Lang · 1966 · misc

    Serge Lang, Introduction to Transcendental Numbers, Addison–Wesley (1966), historical source for the standard formulation.

  44. Lang1971RationalPoints

    Higher dimensional Diophantine problems

    Serge Lang · 1974 · misc

    Serge Lang, “Higher dimensional Diophantine problems,” Bulletin of the AMS 80 (1974), 779–787, DOI: 10.1090/S0002-9904-1974-13589-6.

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  45. Lang1986Hyperbolic

    Hyperbolic and Diophantine analysis

    Serge Lang · 1986 · misc

    Serge Lang, “Hyperbolic and Diophantine analysis,” Bulletin of the AMS 14 (1986), 159–205, DOI: 10.1090/S0273-0979-1986-15426-1.

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  46. Lazarsfeld2004Positivity

    Positivity in Algebraic Geometry I

    Robert Lazarsfeld · 2004 · misc

    Robert Lazarsfeld, Positivity in Algebraic Geometry I, Ergebnisse 48, Springer (2004), DOI: 10.1007/978-3-642-18808-4.

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  47. LazicPeternell2018Nonvanishing

    On generalised abundance, I

    Vladimir Lazić and Thomas Peternell · 2019 · misc

    Vladimir Lazić and Thomas Peternell, “On generalised abundance, I,” Publications Mathématiques de l’IHÉS 130 (2019), 353–389, DOI: 10.1007/s10240-019-00107-8, arXiv:1808.00438.

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  48. Legendre1798

    Essai sur la théorie des nombres

    A.-M. Legendre · 1798 · misc

    A.-M. Legendre, Essai sur la théorie des nombres, Duprat, Paris (1798), stable scan: https://gallica.bnf.fr/ark:/12148/bpt6k110148v

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