Wall crossing for moduli of stable log pairs

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.

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