3-fold divisorial extremal neighborhoods over cE7 and cE6 Compound DuVal singularities
Algebraic Geometry
2008-01-17 v2
Abstract
Let X be the germ of a Gorenstein 3-fold singularity and C a smooth curve through it such that the general hyperplane section S of X containing D is DuVal of type E6 or E7. In this paper we obtain criteria for the existence of a terminal divisorial extremal neighborhood f: Y-->X contracting an irreducible divisor E onto C and classify all such neighborhoods.
Keywords
Cite
@article{arxiv.math/0703855,
title = {3-fold divisorial extremal neighborhoods over cE7 and cE6 Compound DuVal singularities},
author = {Nikolaos Tziolas},
journal= {arXiv preprint arXiv:math/0703855},
year = {2008}
}
Comments
A section has been added classifying all divisorial extremal neighborhoods f:Y-->X such that if E is the f-exceptional divisor and C=f(E), the general hyperplane section S of X containg C is DuVal of type E6. The previous version classified only the E7 case. 20 pages