On effective birationality for sub-pairs
| Autor: | Jingjun Han, Jihao Liu |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics. 34 |
| ISSN: | 1793-6519 0129-167X |
| DOI: | 10.1142/s0129167x23500295 |
| Popis: | For [Formula: see text]-lc Fano-type varieties with fixed dimension, we show that [Formula: see text] defines a birational map for some positive integer [Formula: see text] depending only on [Formula: see text] and the dimension for any pair [Formula: see text] when vol[Formula: see text] and the coefficients of [Formula: see text] are bounded away from 0. When vol[Formula: see text] approaches to zero, we construct an example to show that the effective birationality fails even if [Formula: see text] is fixed, [Formula: see text] is [Formula: see text]-lc for some positive real number [Formula: see text], and the coefficients of [Formula: see text] belong to a descending chain condition (DCC) set. We also show the effective birationality holds for sub-pairs [Formula: see text] under certain conditions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|