Fujita decomposition on families of abelian varieties

DOI10.1007/s40574-021-00292-7zbMath1492.14013OpenAlexW3170343233MaRDI QIDQ2162472

Gian Pietro Pirola

Publication date: 8 August 2022

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-021-00292-7

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Fibrations, degenerations in algebraic geometry (14D06) Variation of Hodge structures (algebro-geometric aspects) (14D07) Divisors, linear systems, invertible sheaves (14C20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Abelian varieties and schemes (14Kxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fibered algebraic surfaces with low slope
• Higher direct images of dualizing sheaves. I
• Irregularity of surfaces with a linear pencil
• Kodaira dimension of algebraic fiber spaces over curves
• Higgs bundles and local systems
• On Kähler fiber spaces over curves
• The sheaf of relative canonical forms of a Kähler fiber space over a curve
• On the irregularity of special non-canonical surfaces
• Variation of Hodge structure: The singularities of the period mapping
• On the Xiao conjecture for plane curves
• Massey products and Fujita decompositions on fibrations of curves
• The direct image of the relative dualizing sheaf needs not be semiample
• Théorie de Hodge. II. (Hodge theory. II)
• Family of curves with large unitary summand in the Hodge bundle
• Vector bundles on curves coming from variation of Hodge structures
• FUJITA DECOMPOSITION AND HODGE LOCI
• ALBANESE STANDARD AND ALBANESE EXOTIC VARIETIES
• Hodge Classes on Certain Types of Abelian Varieties
• The Self-Duality Equations on a Riemann Surface
• On a conjecture of Xiao.
• Answer to a question by Fujita on Variation of Hodge Structures
• Families of curves with Higgs field of arbitrarily large kernel
• Trigonal Deformations of Rank One and Jacobians
• On the rank of the flat unitary summand of the Hodge bundle

This page was built for publication: Fujita decomposition on families of abelian varieties