The Sarkisov program for Mori fibred Calabi-Yau pairs
File(s)2016-3-016.pdf (427.39 KB)
Published version
Author(s)
Corti, A
Kaloghiros, A
Type
Journal Article
Abstract
We prove a version of the Sarkisov program for volume preserving birational maps of Mori fibred Calabi–Yau pairs valid in all dimensions. Our theorem generalises the theorem of Usnich and Blanc on factorisations of birational maps of (C×)2 that preserve the volume form dx x ∧ dy y.
Date Issued
2016-05-01
Date Acceptance
2015-09-01
Citation
Algebraic Geometry, 2016, 3 (3), pp.370-384
ISSN
2214-2584
Publisher
European Mathematical Society Publishing House
Start Page
370
End Page
384
Journal / Book Title
Algebraic Geometry
Volume
3
Issue
3
Copyright Statement
© Foundation Compositio Mathematica 2016. This article is distributed with Open Access under
the terms of the Creative Commons Attribution Non-Commercial License, which permits non-commercial reuse,
distribution, and reproduction in any medium, provided that the original work is properly cited. For commercial
re-use, please contact the Foundation Compositio Mathematica.
the terms of the Creative Commons Attribution Non-Commercial License, which permits non-commercial reuse,
distribution, and reproduction in any medium, provided that the original work is properly cited. For commercial
re-use, please contact the Foundation Compositio Mathematica.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/G06170X/1
Subjects
Science & Technology
Physical Sciences
Mathematics
Sarkisov program
Calabi-Yau pairs
VARIETIES
math.AG
Publication Status
Published