The Dual Complex of a Semi-log Canonical Surface

Semi-log canonical varieties are a higher-dimensional analogue of stable curves. They are the varieties appearing as the boundary Δ of a log canonical pair (X,Δ) and also appear as limits of canonically polarized varieties in moduli theory. For certain three-fold pairs (X,Δ), we show how to compute...

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Bibliographic Details
Main Author: Brown, M.V (Author)
Format: Article
Language:English
Published: Oxford University Press 2022
Online Access:View Fulltext in Publisher
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020 |a 10737928 (ISSN) 
245 1 0 |a The Dual Complex of a Semi-log Canonical Surface 
260 0 |b Oxford University Press  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1093/imrn/rnaa329 
520 3 |a Semi-log canonical varieties are a higher-dimensional analogue of stable curves. They are the varieties appearing as the boundary Δ of a log canonical pair (X,Δ) and also appear as limits of canonically polarized varieties in moduli theory. For certain three-fold pairs (X,Δ), we show how to compute the PL homeomorphism type of the dual complex of a dlt minimal model directly from the normalization data of Δ. © 2021 The Author(s). 
700 1 |a Brown, M.V.  |e author 
773 |t International Mathematics Research Notices