The Dual Complex of a Semi-log Canonical Surface

Author:

Brown Morgan V1

Affiliation:

1. Department of Mathematics, University of Miami, Coral Gables, FL 33146, USA

Abstract

Abstract Semi-log canonical varieties are a higher-dimensional analogue of stable curves. They are the varieties appearing as the boundary $\Delta $ of a log canonical pair $(X,\Delta )$ and also appear as limits of canonically polarized varieties in moduli theory. For certain three-fold pairs $(X,\Delta ),$ we show how to compute the PL homeomorphism type of the dual complex of a dlt minimal model directly from the normalization data of $\Delta $.

Funder

Simons Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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