Weyl Groups and Birational Transformations among Minimal Models.

Intro -- Contents -- Chapter I. Introduction -- Chapter II. Weyl groups appearing in the symmetry among minimal models -- II-1. 3-folds of general type - Weyl groups of finite type -- II-1-1. The case of rational double points -- II-1-2. The case of Del Pezzo surfaces -- II-1-3. The case of ruled surfaces -- II-2. Elliptic 3-folds - Weyl groups of affine type -- II-2-1. The case of Kodaira-type degenerations of elliptic curves -- II-3. 3-folds with Kodaira dimension 1 - Weyl groups of hyperbolic type -- II-3-1. The case of Picard-Lefschetz reflections of K3 surfaces -- II-4. 3-folds with Kodaira dimension 0 -- II-4-1. The case of generic quintic 3-folds -- Chapter III. Weyl groups for Fano 3-folds -- III-1. Characterization of the Weyl groups for Del Pezzo surfaces and its generalization to Fano manifolds of higher dimensions -- III-2. Flops in dimension 4 -- III-3. Table for the Weyl groups for Fano 3-folds -- Chapter IV. Summary and speculation about the connection with algebraic groups -- References.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.