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Found 138 Documents (Results 1–100)

On the standard conjecture for a fourfold with 1-parameter fibration by abelian varieties. (English. Russian original) Zbl 07838026

Izv. Math. 88, No. 2, 339-368 (2024); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 88, No. 2, 153-183 (2024).
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On the standard conjecture for compactifications of Néron models of 4-dimensional abelian varieties. (English. Russian original) Zbl 1522.14017

Izv. Math. 86, No. 4, 797-835 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 4, 192-232 (2022).
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On algebraic isomorphisms of the rational cohomology of Künnemann’s compactifications of the Néron model of an abelian variety without complex multiplication. (English. Russian original) Zbl 1493.14044

Math. Notes 111, No. 4, 652-653 (2022); translation from Mat. Zametki 111, No. 4, 636-637 (2022).
MSC:  14G40 14K05 11G10
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On the standard conjecture for compactifications of Néron models of three-dimensional abelian varieties with multiplications in an imaginary quadratic field. (English. Russian original) Zbl 1465.14014

Math. Notes 109, No. 3, 498-499 (2021); translation from Mat. Zametki 109, No. 3, 479-480 (2021).
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On the standard conjecture for projective compactifications of Néron models of 3-dimensional abelian varieties. (English. Russian original) Zbl 1467.14108

Izv. Math. 85, No. 1, 145-175 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 154-186 (2021).
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Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. (English) Zbl 1465.11002

Memoirs of the American Mathematical Society 1295. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4219-4/pbk; 978-1-4704-6253-6/ebook). v, 131 p. (2020).
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On the standard conjecture and the existence of a Chow-Lefschetz decomposition for complex projective varieties. (English. Russian original) Zbl 1318.14012

Izv. Math. 79, No. 1, 177-207 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 1, 185-216 (2015).
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Compactified Jacobians, Abel maps and theta divisors. (English) Zbl 1152.14027

Alexeev, Valery (ed.) et al., Curves and abelian varieties. International conference, Athens, GA, USA, March 30–April 2, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4334-5/pbk). Contemporary Mathematics 465, 1-23 (2008).
MSC:  14H40 14H51 14K30
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Néron models of algebraic tori. (Néron-Modelle algebraischer Tori.) (German) Zbl 1041.14006

Schriftenreihe des Mathematischen Instituts der Universität Münster. 3. Serie 31. Münster: Univ. Münster, Mathematisches Institut; Münster: Univ. Münster, Fachbereich Mathematik und Informatik (Dissertation). x, 134 S. (2003).
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Reduction of abelian varieties. (English) Zbl 1029.14014

Gordon, B. Brent (ed.) et al., The arithmetic and geometry of algebraic cycles. Proceedings of the NATO Advanced Study Institute, Banff, Canada, June 7-19, 1998. Vol. 1. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 548, 495-513 (2000).
MSC:  14K05 14G20 14K15
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An inverse problem for reduction of commutative algebraic groups. (Un problème inverse pour la réduction des groupes algébriques commutatifs.) (French. Abridged English version) Zbl 0920.14024

MSC:  14L15 14M25 11G25 13K05 14G20
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