Year: 2002
Type: preprint
Abstract: In these notes, we consider self-maps of degree > 1 on a weak del Pezzo surface X of degree < 8. We show that there are exactly 12 such X, modulo isomorphism. In particular, K_X^2 > 2, and if X has one self-map of degree > 1 then for every positive integer d there is a self-map of degree d^2 on X. We prove the Sato conjecture in the present case, the general case of which has been proved by N. Nakayama.
Source: arXiv (Cornell University)
Author: Zhang, D. -Q.
Institution: National University of Singapore
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National University of Singapore
OpenAlex ID: W4300070516