Degenerating abelian varieties via log abelian varieties
| Autor: | Heer Zhao |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Abelian variety
Pure mathematics Computer Science::Computer Science and Game Theory Mathematics::Commutative Algebra Applied Mathematics General Mathematics Mathematics::Number Theory 010102 general mathematics Degenerate energy levels Primary 14K99. Secondary 14D06 Field (mathematics) 01 natural sciences Discrete valuation ring Mathematics - Algebraic Geometry Mathematics::K-Theory and Homology 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Discrete valuation Abelian group Tate curve Algebraic Geometry (math.AG) Mathematics |
| DOI: | 10.48550/arxiv.1412.5651 |
| Popis: | For any split totally degenerate abelian variety over a complete discrete valuation field, we construct a log abelian variety over the discrete valuation ring extending the given abelian variety. This generalizes the log Tate curve of Kato. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|