On the Hodge structure of degenerating hypersurfaces in toric varieties

DOI10.2748/tmj/1192117982zbMath1133.14009arXivmath/0503245OpenAlexW2012435866MaRDI QIDQ2472339

Atsushi Ikeda

Publication date: 21 February 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503245

zbMATH Keywords

toric varietiesHodge structuresJacobian rings

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Fibrations, degenerations in algebraic geometry (14D06) Hypersurfaces and algebraic geometry (14J70)

Cites Work

• On the Hodge structure of projective hypersurfaces in toric varieties
• Vanishing theorems on toric varieties.
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• On the periods of certain rational integrals. I, II
• Equations différentielles à points singuliers réguliers
• Introduction to Toric Varieties. (AM-131)
• Logarithmic structures of Fontaine-Illusie. II
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