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arXiv · 0802.2441

Variations on Log Sarkisov Program for Surfaces

Adrien Dubouloz·Stéphane Lamy
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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.

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Adrien Dubouloz, Stéphane Lamy. 2009-02-11. Variations on Log Sarkisov Program for Surfaces. https://arxiv.org/abs/0802.2441

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