Weyl Groups And Birational Transformations Among Minimal Models

Download or read book Weyl Groups and Birational Transformations among Minimal Models written by Kenji Matsuki and published by American Mathematical Soc.. This book was released on 1995 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we provide a unified way of looking at the apparently sporadic Weyl groups connected with the classical geometry of surfaces, namely those with 1) the rational double points, 2) the Picard groups of Del Pezzo surfaces, 3) the Kodaira-type degenerations of elliptic curves, and 4) the Picard-Lefschetz reflections of [italic]K3-surfaces, by putting them together into the picture of 3-dimensional birational geometry in the realm of the recently established Minimal Model Theory for 3-folds.