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The Dual Complex of a Semi-log Canonical Surface
Journal article   Open access  Peer reviewed

The Dual Complex of a Semi-log Canonical Surface

Morgan Brown
International mathematics research notices, Vol.2022(10), pp.7495-7515
2021-01-04

Abstract

Mathematics Physical Sciences Science & Technology
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 threefold 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.
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https://doi.org/10.1093/imrn/rnaa329View
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Citation topics
9 Mathematics
9.28 Pure Maths
9.28.246 Moduli Spaces
Web Of Science research areas
Mathematics
ESI research areas
Mathematics

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