Letters of a Bi-Rationalist IV: Geometry of log flips
Algebraic Geometry
2016-09-07 v1
Abstract
For a birational log Fano contraction, it is conjectured an inequality between the dimension of its exceptional locus and the minimal log discrepancy over the locus. The conjecture follows from the existence of the flip for the contraction and another conjecture about the maximum of minimal log discripancy in given dimension; in particular, it holds in small dimensions (up to 4), and some special cases. It is illustrated by some examples.
Keywords
Cite
@article{arxiv.math/0206004,
title = {Letters of a Bi-Rationalist IV: Geometry of log flips},
author = {V. V. Shokurov},
journal= {arXiv preprint arXiv:math/0206004},
year = {2016}
}
Comments
LaTex, 20p. To appear in the Proceedings of the Conference in memory of Paolo Francia, Genova, September 2001