scientific article; zbMATH DE number 1248019

DOI10.1023/A:1000566205021zbMath0926.14002MaRDI QIDQ4228082

Chad Schoen

Publication date: 16 November 1999

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/89882

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hodge conjectureabelian 4-foldsabelian variety of Weil type

Mathematics Subject Classification ID

(4)-folds (14J35) Algebraic moduli of abelian varieties, classification (14K10) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (n)-folds ((n>4)) (14J40)

Related Items (5)

Families of motives and the Mumford-Tate conjecture ⋮ The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians ⋮ \(\operatorname{Spin}(7)\)-instantons, stable bundles and the Bogomolov inequality for complex 4-tori ⋮ ABELIAN VARIETIES OF TYPE III AND THE HODGE CONJECTURE ⋮ Weil classes and decomposable abelian fourfolds

Cites Work

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• Algebraic cycles on Abelian varieties of Fermat type
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• The Hodge conjecture for Fermat varieties
• On some arithmetic problems related to the Hodge cycles on the Fermat varieties
• On analytic families of polarized abelian varieties and automorphic functions
• Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch
• Remarks on Correspondences and Algebraic Cycles
• Hodge Classes on Certain Types of Abelian Varieties
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• A Lefschetz fixed point formula for elliptic differential operators
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