Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension-Reference-Cited by-同舟云学术

Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension

Published:2016-12-15 Issue:4 Volume:30 Page:959-1021
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Kovács Sándor,Patakfalvi Zsolt

Abstract

We prove that any coarse moduli space of stable log-varieties of general type is projective. We also prove subadditivity of log-Kodaira dimension for fiber spaces whose general fiber is of log general type.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/jams/2017-30-04/S0894-0347-2016-00871-8/jams871_AM.pdf

Reference69 articles.

1. A high fibered power of a family of varieties of general type dominates a variety of general type;Abramovich, Dan;Invent. Math.,1997

2. Stable varieties with a twist;Abramovich, Dan,2011

3. Boundedness and 𝐾² for log surfaces;Alexeev, Valery;Internat. J. Math.,1994

4. Moduli spaces 𝑀_{𝑔,𝑛}(𝑊) for surfaces;Alexeev, Valery,1996

5. A fibered power theorem for pairs of log general type;Ascher, Kenneth;Algebra Number Theory,2016

Cited by 40 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On surjective morphisms to abelian varieties and a generalization of the Iitaka conjecture;Mathematische Zeitschrift;2024-05-09

2. Algebraic uniqueness of Kähler–Ricci flow limits and optimal degenerations of Fano varieties;Geometry & Topology;2024-03-13

3. Moduli of ℚ-Gorenstein pairs and applications;Journal of Algebraic Geometry;2024-01-02

4. The Nonvanishing Problem for varieties with nef anticanonical bundle;Documenta Mathematica;2023-11-29

5. Arakelov inequalities in higher dimensions;Journal für die reine und angewandte Mathematik (Crelles Journal);2023-11-25