On wormholes in the moduli space of surfaces
No Thumbnail Available
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We study a certain wormholing phenomenon that takes place in the Kollar-Shepherd-Barron-Alexeev (KSBA) compactification of the moduli space of surfaces of general type. It occurs because of the appearance of particular extremal P-resolutions in surfaces on the KSBA boundary. We state a general wormhole conjecture, and we prove it for a wide range of cases. At the end, we discuss some topological properties and open questions.
Description
Keywords
moduli space of surfaces of general type, KSBA compactification, minimal model program, Wahl singularity, continued fractions