Letters of a Bi-Rationalist IV: Geometry of log flips

Details Letters of a Bi-Rationalist IV: Geometry of log flips Letters of a Bi-Rationalist IV: Geometry of log flips

2002-06-02

arxiv.org/abs/math/0206004v1

Mathematics

Algebraic Geometry

LaTex, 20p. To appear in the Proceedings of the Conference in memory of Paolo Francia, Genova, September 2001

Scientific paper

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.

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