Advanced Studies in Pure Mathematics

Notes on the weak positivity theorems

Osamu Fujino

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Abstract

We discuss the (twisted) weak positivity theorem. We also treat some applications.

Article information

Source
Algebraic Varieties and Automorphism Groups, K. Masuda, T. Kishimoto, H. Kojima, M. Miyanishi and M. Zaidenberg, eds. (Tokyo: Mathematical Society of Japan, 2017), 73-118

Dates
Received: 16 July 2014
Revised: 2 July 2015
First available in Project Euclid: 21 September 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1537498706

Digital Object Identifier
doi:10.2969/aspm/07510073

Mathematical Reviews number (MathSciNet)
MR3793363

Zentralblatt MATH identifier
1396.14032

Subjects
Primary: 14J10: Families, moduli, classification: algebraic theory
Secondary: 14D07: Variation of Hodge structures [See also 32G20] 32G20: Period matrices, variation of Hodge structure; degenerations [See also 14D05, 14D07, 14K30]

Keywords
semipositivity theorem weak positivity mixed Hodge structures Iitaka's conjecture

Citation

Fujino, Osamu. Notes on the weak positivity theorems. Algebraic Varieties and Automorphism Groups, 73--118, Mathematical Society of Japan, Tokyo, Japan, 2017. doi:10.2969/aspm/07510073. https://projecteuclid.org/euclid.aspm/1537498706


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