On some arithmetic problems related to the Hodge cycles on the Fermat varieties

DOI10.1007/BF01458703zbMath0506.14030OpenAlexW4248472978MaRDI QIDQ1836707

Noboru Aoki

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163839

zbMATH Keywords

Picard numberHodge conjectureFermat varietiesHodge cycles

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Picard groups (14C22) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Special surfaces (14J25)

Related Items

Picard numbers of Delsarte surfaces, Unnamed Item, AN ALGEBRO-GEOMETRIC STUDY OF SPECIAL VALUES OF HYPERGEOMETRIC FUNCTIONS, Unnamed Item, A category of kernels for equivariant factorizations and its implications for Hodge theory, Some surfaces with maximal Picard number, Fermat motives and the Artin-Tate formula. II, The Hodge conjecture for the Jacobian varieties of generalized Catalan curves

Cites Work

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• Simple Factors in the Jacobian of a Fermat Curve
• The universal ordinary distribution