Open problems in algebraic geometry

DOI10.1016/S0007-4497(00)01075-7zbMath1009.11002OpenAlexW2090034069MaRDI QIDQ5930048

B. J. J. Moonen, Frans Oort, S. J. Edixhoven

Publication date: 13 July 2001

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(00)01075-7

zbMATH Keywords

sporadic groupsAbelian varietiesmoduli spaces\(K3\) surfaces\(p\)-divisible groupCalabi-Yau varietiescurvesgroup schemesHilbert modular formsknot-invariantsNeron modelrigid geometry

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Abelian varieties of dimension (> 1) (11G10) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Arithmetic aspects of modular and Shimura varieties (11G18) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

Principal polarizations of supersingular abelian surfaces, Rank 2 local systems, Barsotti-Tate groups, and Shimura curves, Supersingular quotients of Fermat curves, Brauer-Siegel for arithmetic tori and lower bounds for Galois orbits of special points, Towards the André-Oort conjecture for mixed Shimura varieties: the Ax-Lindemann theorem and lower bounds for Galois orbits of special points, On examples of supersingular and rationally chain connected threefolds, \(H^0\) of Igusa varieties via automorphic forms, The André-Oort conjecture for \(\mathcal A_g\), On the distribution of the Hodge locus, Ax-Lindemann for \(\mathcal{A}_g\), Product formulas for periods of CM abelian varieties and the function field analog, A conjecture of Yves André's, Mass formula and Oort's conjecture for supersingular abelian threefolds, Applications of the hyperbolic Ax–Schanuel conjecture

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