Variations on Log Sarkisov Program for Surfaces
Algebraic Geometry
2009-02-11 v2
Abstract
Let (S, BS) be the log-pair associated with a compactification of a given smooth quasi-projective surface V . Under the assumption that the boundary BS is irreducible, we propose an algorithm, in the spirit of the (log) Sarkisov program, to factorize any automorphism of V into a sequence of elementary links in the framework of the logarithmic Mori theory. The new noteworthy feature of our algorithm is that all the blow-ups and contractions involved in the process occur on the boundary.
Keywords
Cite
@article{arxiv.0802.2441,
title = {Variations on Log Sarkisov Program for Surfaces},
author = {Adrien Dubouloz and Stéphane Lamy},
journal= {arXiv preprint arXiv:0802.2441},
year = {2009}
}
Comments
Revised and enlarged version with new examples and applications