D. -Q. Zhang
Published 2002-10-02Version 1
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.
Comments: 15 pages, Contemporary Math. Amer. Math. Soc. to appear
Jordan groups and algebraic surfaces
Bott vanishing for algebraic surfaces
Genus 3 curves whose Jacobians have endomorphisms by $Q(ζ_7 + \overlineζ_7)$
![QR code for arXiv:math/0210021 [math.AG]](http://oss.arxitics.com/images/favicon.svg)