Wall crossing for moduli of stable log pairs

Kenneth Ascher; Dori Bejleri; Giovanni Inchiostro; Zsolt Patakfalvi

doi:https://doi.org/10.4007/annals.2023.198.2.7

Wall crossing for moduli of stable log pairs

Pages 825-866 from Volume 198 (2023), Issue 2 by Kenneth Ascher, Dori Bejleri, Giovanni Inchiostro, Zsolt Patakfalvi

Abstract

We prove, under suitable conditions, that there exist wall-crossing and reduction morphisms for moduli spaces of stable log pairs in all dimensions as one varies the coefficients of the divisor.

Keywords

minimal model program, moduli spaces, varieties of log general type

Mathematical Subject Classification

Primary 2000: 14E30, 14J10, 14J17

DOI

https://doi.org/10.4007/annals.2023.198.2.7

4635305

zbMATH

07734892

Milestones

Received: 9 March 2022
Revised: 10 October 2022
Accepted: 20 January 2023
Published online: 31 August 2023

Authors

Kenneth Ascher

University of California, Irvine, CA, USA

Dori Bejleri

Harvard University, Cambridge, MA, USA

Giovanni Inchiostro

University of Washington, Seattle, WA, USA

Zsolt Patakfalvi

École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland