On wormholes in the moduli space of surfaces
Algebraic Geometry
2021-05-28 v2 Geometric Topology
Symplectic Geometry
Abstract
We study a certain wormholing phenomenon that takes place in the Koll\'ar--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.
Keywords
Cite
@article{arxiv.2102.02177,
title = {On wormholes in the moduli space of surfaces},
author = {Giancarlo Urzúa and Nicolás Vilches},
journal= {arXiv preprint arXiv:2102.02177},
year = {2021}
}