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Bounds on Wahl singularities from symplectic topology

Accepted version
Peer-reviewed

Change log

Authors

Evans, Jonathan David 
Smith, Ivan 

Abstract

A complex surface is said to have general type if its canonical bundle is big. The moduli space of surfaces of general type with fixed characteristic numbers K2 and χ admits a compactification, constructed by Kolla ́r and Shepherd-Barron, whose boundary points correspond to surfaces with semi-log-canonical (slc) singularities, in much the way that the boundary points of Deligne-Mumford space correspond to nodal curves.

Description

Keywords

Wahl singularities, surfaces of general type, rational homology balls, symplectic embeddings, Seiberg-Witten invariants

Journal Title

ALGEBRAIC GEOMETRY

Conference Name

Journal ISSN

2313-1691
2214-2584

Volume Title

7

Publisher

Foundation Compositio Mathematica
Sponsorship
Engineering and Physical Sciences Research Council (EP/N01815X/1)