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On Weierstrass Models
Noboru NAKAYAMA
Pages 405-431 - Book chapterAbstract only
Canonical Bundles of Analytic Surfaces of Class VII0
Kenji NISHIGUCHI
Pages 433-452 - Book chapterAbstract only
Ideal-adic Completion of Noetherian Rings II
Jun-ichi NISHIMURA and Toshio NISHIMURA
Pages 453-467 - Book chapterAbstract only
Endomorphism Algebras of Abelian Varieties
Frans OORT
Pages 469-502 - Book chapterAbstract only
On the Canonical Ring of a Curve
Kapil PARANJAPE and S. RAMANAN
Pages 503-516 - Book chapterAbstract only
Algebraic Surfaces for Regular Systems of Weights
Kyoji SAITO
Pages 517-614 - Book chapterAbstract only
Generic Torelli Theorem for Hypersurfaces in Compact Irreducible Hermitian Symmetric Spaces
Masa-Hiko SAITO
Pages 615-664 - Book chapterAbstract only
A Variety Which Contains a P1-fiber Space as an Ample Divisor
Eiichi SATO
Pages 665-691 - Book chapterAbstract only
How Coarse the Coarse Moduli Spaces for Curves Are!
Tsutomu SEKIGUCHI
Pages 693-712 - Book chapterAbstract only
Elementary Transformations of Algebraic Vector Bundles II
Hideyasu SUMIHIRO
Pages 713-748 - Book chapterAbstract only
Discriminants of Curves of Genus 2 and Arithmetic Surfaces
Kenji UENO
Pages 749-770 - Book chapterAbstract only
On the Irreducibility of the First Differential Equation of Painlevé
Hiroshi UMEMURA
Pages 771-789 - Book chapterAbstract only
Study of F-purity in Demension Two
Kei-ichi WATANABE
Pages 791-800 - Book chapterAbstract only
A Note on the Existence of Some Curves
Hisao YOSHIHARA
Pages 801-804
About the book
Description
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.
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.
Details
ISBN
978-0-12-348032-3
Language
English
Published
1988
Copyright
Copyright © 1988 Elsevier Inc. All rights reserved.
Imprint
Academic Press