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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| Format: | Article |
| Language: | English |
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Oxford University Press
2022
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| Online Access: | View Fulltext in Publisher |
| Summary: | 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). |
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| ISBN: | 10737928 (ISSN) |
| DOI: | 10.1093/imrn/rnaa329 |