Year: 1995
Type: preprint
Abstract: The purpose of this paper is two-fold. The first is to give a tutorial introduction to the Sarkisov program, a 3-dimensional generalization of Castelnuovo-Nöther Theorem ``untwisting" birational maps between Mori fiber spaces, which was recently established by Corti after Sarkisov and Reid. The second is an attempt to give a logarithmic generalization of the program, introducing the notion of the Sarkisov relation. We give a simple description of the structure of the program and clarify the mechanism of termination connected to the boundedness conjecture of (log) Q-Fano n-folds by Borisov.
Source: arXiv (Cornell University)
Authors: Bruno, Andrea, Matsuki, Kenji
Institutions: Roma Tre University, Purdue University West Lafayette
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2953333106