The Dual Complex of a semi-log canonical Surface
| Autor: | Morgan V. Brown |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Normalization (statistics)
Surface (mathematics) Pure mathematics Dual complex General Mathematics 010102 general mathematics Boundary (topology) Type (model theory) 01 natural sciences Homeomorphism Moduli Minimal model Mathematics - Algebraic Geometry 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Algebraic Geometry (math.AG) Mathematics |
| DOI: | 10.48550/arxiv.1908.04315 |
| Popis: | 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 $. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|