Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata

Hijikata, Hiroaki (Editor) / Hironaka, Heisuke (Series Editor) / Maruyama, Masaki (Series Editor)

ISBN 10: 1483240576 / ISBN 13: 9781483240572

Published by Academic Press, 2014

About this Item

416 pages. 9.25x6.00x0.94 inches. In Stock.

Seller Inventory # zk1483240576

Bibliographic Details

• Title: Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata
• Publisher: Academic Press
• Publication Date: 2014
• Language: English
• ISBN 10: 1483240576
• ISBN 13: 9781483240572
• Binding: Paperback
• Condition: Brand New
• Weight: 0.72 kilograms

About this title

Synopsis

Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from Weierstrass models and endomorphism algebras of abelian varieties to the generic Torelli theorem for hypersurfaces in compact irreducible hermitian symmetric spaces. Coarse moduli spaces for curves are also discussed, along with discriminants of curves of genus 2 and arithmetic surfaces. Comprised of 14 chapters, this volume begins by describing a basic fibration as a Weierstrass model, with emphasis on elliptic threefolds with a section. The reader is then introduced to canonical bundles of analytic surfaces of class VII0 with curves; Lifting Problem on ideal-adically complete noetherian rings; and the canonical ring of a curve. Subsequent chapters deal with algebraic surfaces for regular systems of weights; elementary transformations of algebraic vector bundles; the irreducibility of the first differential equation of Painlevé; and F-pure normal rings of dimension two. The book concludes with an assessment of the existence of some curves. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.