On wormholes in the moduli space of surfaces

2021/02/03 by Urzúa, Giancarlo, Vilches, Nicolás · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2102.02177

Abstract

We study a certain wormholing phenomenon that takes place in the Kollár--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.

Cited by

• Classification of wormhole singularities

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