对数Sarkisov曲面程序的变形
Variations on Log Sarkisov Program for Surfaces
摘要：
设（S，BS）是给定光滑拟射影曲面V的紧化所对应的对数对。假设边界BS是不可约的，我们提出了一个算法，在（日志）Sarkisov程序的精神，分解成一个序列的基本链接的对数森理论的框架中的V的任何自同构。我们的算法的新的值得注意的特点是，所有的爆破和收缩过程中涉及的边界上发生。
英文摘要：
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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