VARIATIONS ON LOG SARKISOV PROGRAM FOR SURFACES - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2009

VARIATIONS ON LOG SARKISOV PROGRAM FOR SURFACES

Stéphane Lamy

Résumé

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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Dates et versions

hal-00256812 , version 1 (18-02-2008)
hal-00256812 , version 2 (11-02-2009)

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Citer

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