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arXiv:math/0703855 [math.AG]AbstractReferencesReviewsResources

3-fold divisorial extremal neighborhoods over cE7 and cE6 Compound DuVal singularities

Nikolaos Tziolas

Published 2007-03-28, updated 2008-01-17Version 2

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.

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
Categories: math.AG
Subjects: 14E30, 14E35
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