Hodge Theory on Generalized Normal Crossing Varieties

DOI10.1017/S0013091513000874zbMath1287.14002arXiv1104.0524OpenAlexW2963396634MaRDI QIDQ5398471

Yujiro Kawamata

Publication date: 28 February 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0524

zbMATH Keywords

mixed Hodge structuregeneralized normal crossing pairgeneralized normal crossing varieties

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Fibrations, degenerations in algebraic geometry (14D06) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Related Items

Numerical analogues of the Kodaira dimension and the abundance conjecture ⋮ Isotriviality of smooth families of varieties of general type ⋮ Deformations of \(\mathbb {A}^1\)-cylindrical varieties ⋮ Non-rational centers of log canonical singularities ⋮ Unnamed Item ⋮ Smoothing of semistable Fano varieties

Cites Work

• Hodge filtrations and the higher direct images of canonical sheaves
• Pluricanonical systems on minimal algebraic varieties
• Higher direct images of dualizing sheaves. I
• Higher direct images of dualizing sheaves. II
• Variation of Hodge structure: The singularities of the period mapping
• Semipositivity theorem for reducible algebraic fiber spaces
• Weak semistable reduction in characteristic 0
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I