The infinitesimal and generalized Hodge conjecture for some families of sextic threefolds

DOI10.1007/BF02567532zbMath0857.14005WikidataQ122905816 ScholiaQ122905816MaRDI QIDQ1914843

Michele Rossi

Publication date: 5 August 1996

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

Full work available at URL: https://eudml.org/doc/156177

zbMATH Keywords

Fano varietiesFano threefoldsgeneralized Hodge conjecturevarieties of general typeFermat sextic

Mathematics Subject Classification ID

(3)-folds (14J30) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (2)

Hodge theory on some invariant threefolds of even degree ⋮ Hodge theory on cyclotomic threefolds (with a view towards the higher dimensional case)

Cites Work

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• On Fermat varieties
• On the existence of deformations of complex analytic structures
• Abel-Jacobi equivalence versus incidence equivalence for algebraic cycles of codimension two
• The Abel-Jacobi isomorphism for the sextic double solid
• On \((n-1)\)-dimensional projective spaces contained in the Grassmann variety \(\mathrm{Gr}(n,1)\)
• On the solutions of analytic equations
• Hodge's general conjecture is false for trivial reasons
• On the periods of certain rational integrals. I, II
• Schubert Calculus
• On Grothendieck's generalized Hodge conjecture for a family of threefolds with trivial canonical bundle.
• Lines on the Fermat Quintic Threefold and the Infinitesimal Generalized Hodge Conjecture

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