Cascini, Paolo and Martinez-Garcia, Jesus and Rubinstein, Yanir A (2023) On the body of ample angles of asymptotically log Fano varieties. Rendiconti del Circolo Matematico di Palermo Series 2, 72 (2). pp. 773-790. DOI https://doi.org/10.1007/s12215-021-00712-9
Cascini, Paolo and Martinez-Garcia, Jesus and Rubinstein, Yanir A (2023) On the body of ample angles of asymptotically log Fano varieties. Rendiconti del Circolo Matematico di Palermo Series 2, 72 (2). pp. 773-790. DOI https://doi.org/10.1007/s12215-021-00712-9
Cascini, Paolo and Martinez-Garcia, Jesus and Rubinstein, Yanir A (2023) On the body of ample angles of asymptotically log Fano varieties. Rendiconti del Circolo Matematico di Palermo Series 2, 72 (2). pp. 773-790. DOI https://doi.org/10.1007/s12215-021-00712-9
Abstract
In dimension two, we reduce the classification problem for asymptotically log Fano pairs to the problem of determining generality conditions on certain blow-ups. In any dimension, we prove the rationality of the body of ample angles of an asymptotically log Fano pair, i.e., these convex bodies are always rational polytopes.
| Item Type: | Article |
|---|---|
| Additional Information: | v2: Theorem 1.4 has been improved and now completely settles Problem 1.3; v3: final version to appear in Rendiconti del Circolo Matematico di Palermo |
| Uncontrolled Keywords: | Asymptotically log Fano varieties; Asymptotically log Del Pezzo surfaces; Body of ample angles |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 10 Feb 2022 11:40 |
| Last Modified: | 30 Oct 2024 21:12 |
| URI: | http://repository.essex.ac.uk/id/eprint/32260 |
Available files
Filename: 2007.15595v3.pdf