Hodge theory on some invariant threefolds of even degree

DOI10.1016/S0019-3577(97)89124-0zbMath0879.14015MaRDI QIDQ1364614

Michele Rossi

Publication date: 8 October 1997

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Abel-Jacobi mapHodge structuresintermediate Jacobianaction of the group of roots of unityGrothendieck-Hodge conjectureinvariant threefolds

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Picard schemes, higher Jacobians (14K30) (3)-folds (14J30) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (1)

Hodge theory on cyclotomic threefolds (with a view towards the higher dimensional case)

Cites Work

• The Hodge conjecture for fourfolds admitting a covering by rational curves
• The Hodge conjecture for Fermat varieties
• The infinitesimal and generalized Hodge conjecture for some families of sextic threefolds
• Hodge's general conjecture is false for trivial reasons
• On Grothendieck's generalized Hodge conjecture for a family of threefolds with trivial canonical bundle.
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