VARIATIONS ON LOG SARKISOV PROGRAM FOR SURFACES

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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https://hal.archives-ouvertes.fr/hal-00256812
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Submitted on : Wednesday, February 11, 2009 - 3:29:07 PM
Last modification on : Wednesday, December 12, 2018 - 3:30:01 PM
Long-term archiving on : Wednesday, September 22, 2010 - 11:57:17 AM

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  • HAL Id : hal-00256812, version 2
  • ARXIV : 0802.2441

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Adrien Dubouloz, Stéphane Lamy. VARIATIONS ON LOG SARKISOV PROGRAM FOR SURFACES. 2009. ⟨hal-00256812v2⟩

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