On the Hodge conjecture and the Tate conjecture for the Hilbert schemes of an abelian surface

DOI10.1002/mana.200410357zbMath1117.14011OpenAlexW2068096462WikidataQ123310237 ScholiaQ123310237MaRDI QIDQ5469057

Ken-Ichi Sugiyama

Publication date: 16 May 2006

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

Full work available at URL: https://doi.org/10.1002/mana.200410357

zbMATH Keywords

Heisenberg algebraHilbert schemesHodge conjectureTate conjecture

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Arithmetic ground fields for abelian varieties (14K15) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

• Hodge cycles, motives, and Shimura varieties
• Instantons and affine algebras. I: The Hilbert scheme and vertex operators

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