Please use this identifier to cite or link to this item:
https://doi.org/10.1007/s00208-021-02274-8
| Title: | Non-isomorphic endomorphisms of Fano threefolds | Authors: | Meng, Sheng Zhang, De-Qi Zhong, Guolei |
Keywords: | Science & Technology Physical Sciences Mathematics POLARIZED ENDOMORPHISMS PICARD NUMBER SELF-MAPS VARIETIES MORPHISMS MANIFOLDS DIVISORS BUNDLES |
Issue Date: | 30-Sep-2021 | Publisher: | SPRINGER HEIDELBERG | Citation: | Meng, Sheng, Zhang, De-Qi, Zhong, Guolei (2021-09-30). Non-isomorphic endomorphisms of Fano threefolds. MATHEMATISCHE ANNALEN 383 (3-Apr) : 1567-1596. ScholarBank@NUS Repository. https://doi.org/10.1007/s00208-021-02274-8 | Abstract: | Let X be a smooth Fano threefold. We show that X admits a non-isomorphic surjective endomorphism if and only if X is either a toric variety or a product of P1 and a del Pezzo surface; in this case, X is a rational variety. We further show that X admits a polarized (or amplified) endomorphism if and only if X is a toric variety. | Source Title: | MATHEMATISCHE ANNALEN | URI: | https://scholarbank.nus.edu.sg/handle/10635/234619 | ISSN: | 0025-5831 1432-1807 |
DOI: | 10.1007/s00208-021-02274-8 |
| Appears in Collections: | Staff Publications Elements |
Show full item record
Files in This Item:
| File | Description | Size | Format | Access Settings | Version | |
|---|---|---|---|---|---|---|
| 2008.10295v2.pdf | 428.26 kB | Adobe PDF | OPEN | Pre-print | View/Download |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.