2007/03/28 by Nikolaos Tziolas, Tziolas, Nikolaos
Computer Science · Mathematics · #14E30 #14E35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #msc:14E30 #msc:14E35
paper · pdf · doi:10.48550/arxiv.math/0703855
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
openalex publication_date 2007/03/28 · arxiv created 2008/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.