Notes on the weak positivity theorems

zbMath1396.14032arXiv1406.1834MaRDI QIDQ4576414

Osamu Fujino

Publication date: 12 July 2018

Full work available at URL: https://arxiv.org/abs/1406.1834

zbMATH Keywords

mixed Hodge structuressemipositivityIitaka's conjecture

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Families, moduli, classification: algebraic theory (14J10) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Related Items (10)

Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension ⋮ Weak positivity theorem and Frobenius stable canonical rings of geometric generic fibers ⋮ On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces ⋮ Positivity of anticanonical divisors in algebraic fibre spaces ⋮ Semipositivity theorems for moduli problems ⋮ On positivity of the CM line bundle on K-moduli spaces ⋮ Subadditivity of generalized Kodaira dimensions and extension theorems ⋮ Log Iitaka conjecture for abundant log canonical fibrations ⋮ Nef anti-canonical divisors and rationally connected fibrations ⋮ On the Iitaka conjecture \(C_{n,m}\) for Kähler fibre spaces

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