FUJITA DECOMPOSITION AND MASSEY PRODUCT FOR FIBERED VARIETIES
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Publication:5867586
DOI10.1017/nmj.2021.15zbMath1503.14012arXiv2007.01473OpenAlexW3216033179MaRDI QIDQ5867586
Publication date: 14 September 2022
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.01473
Period matrices, variation of Hodge structure; degenerations (32G20) Fibrations, degenerations in algebraic geometry (14D06) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (n)-folds ((n>4)) (14J40)
Cites Work
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- Strong generic vanishing and a higher-dimensional Castelnuovo-de Franchis inequality
- A conjecture on the torsion of the Chern classes of Gauss-Manin bundles
- The Fano normal function
- Semi-stable reduction and decomposition of de Rham complexes with coefficients
- Algebraic surfaces with high canonical degree
- On subvarieties of Abelian varieties
- Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville
- Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
- Meromorphic mappings onto compact complex spaces of general type
- 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
- Xiao's conjecture for general fibred surfaces
- On Green's proof of the infinitesimal Torelli theorem for hypersurfaces
- The Griffiths infinitesimal invariant for a curve in its Jacobian
- Differential forms and quadrics of the canonical image
- Massey products and Fujita decompositions on fibrations of curves
- Fujita decomposition over higher dimensional base
- Generalized adjoint forms on algebraic varieties
- The direct image of the relative dualizing sheaf needs not be semiample
- Equations différentielles à points singuliers réguliers
- Vector bundles on curves coming from variation of Hodge structures
- Variations of the Albanese morphisms
- Answer to a question by Fujita on Variation of Hodge Structures
- Families of curves with Higgs field of arbitrarily large kernel
- On the rank of the flat unitary summand of the Hodge bundle
- Infinitesimal Invariant and vector bundles
- Mixed Hodge Structures
- On deformations of curves supported on rigid divisors
