Infinitesimal variation functions for families of smooth varieties

DOI10.1007/s00032-022-00353-2OpenAlexW3187364899MaRDI QIDQ2149590

Filippo F. Favale, Gian Pietro Pirola

Publication date: 29 June 2022

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02157

zbMATH Keywords

plane curvesfamiliesinfinitesimal variation of Hodge structureLefschetz properties

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Variation of Hodge structures (algebro-geometric aspects) (14D07) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Hypersurfaces and algebraic geometry (14J70) Families, moduli of curves (analytic) (14H15)

Related Items (1)

A theorem of Gordan and Noether via Gorenstein rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces
• Hilbert functions of graded algebras
• Xiao's conjecture for general fibred surfaces
• On the Xiao conjecture for plane curves
• On Green's proof of the infinitesimal Torelli theorem for hypersurfaces
• Generalized adjoint forms on algebraic varieties
• The Lefschetz properties
• On rational maps from the product of two general curves
• A class of Hilbert series and the strong Lefschetz property
• Moduli of nodal curves on smooth surfaces of general type
• FUJITA DECOMPOSITION AND HODGE LOCI
• On rational maps from a general surface in to surfaces of general type
• On Complete Intersections and Their Hilbert Functions
• Families of curves with Higgs field of arbitrarily large kernel
• Schiffer variations and the generic Torelli theorem for hypersurfaces
• Trigonal Deformations of Rank One and Jacobians
• Complex multiplication, Griffiths-Yukawa couplings, and rigidity for families of hypersurfaces
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

This page was built for publication: Infinitesimal variation functions for families of smooth varieties