Cover for Algebraic Geometry and Commutative Algebra

Algebraic Geometry and Commutative Algebra

In Honor of Masayoshi Nagata, Volume 2

Book1988

Edited by:

Hiroaki HIJIKATA, Heisuke HIRONAKA, ... Kenji UENO

Algebraic Geometry and Commutative Algebra

In Honor of Masayoshi Nagata, Volume 2

Book1988

 

Cover for Algebraic Geometry and Commutative Algebra

Edited by:

Hiroaki HIJIKATA, Heisuke HIRONAKA, ... Kenji UENO

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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 f ... read full description

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  2. Book chapterAbstract only

    On Weierstrass Models

    Noboru NAKAYAMA

    Pages 405-431

  3. Book chapterAbstract only

    Canonical Bundles of Analytic Surfaces of Class VII0

    Kenji NISHIGUCHI

    Pages 433-452

  4. Book chapterAbstract only

    Ideal-adic Completion of Noetherian Rings II

    Jun-ichi NISHIMURA and Toshio NISHIMURA

    Pages 453-467

  5. Book chapterAbstract only

    Endomorphism Algebras of Abelian Varieties

    Frans OORT

    Pages 469-502

  6. Book chapterAbstract only

    On the Canonical Ring of a Curve

    Kapil PARANJAPE and S. RAMANAN

    Pages 503-516

  7. Book chapterAbstract only

    Algebraic Surfaces for Regular Systems of Weights

    Kyoji SAITO

    Pages 517-614

  8. Book chapterAbstract only

    Generic Torelli Theorem for Hypersurfaces in Compact Irreducible Hermitian Symmetric Spaces

    Masa-Hiko SAITO

    Pages 615-664

  9. Book chapterAbstract only

    A Variety Which Contains a P1-fiber Space as an Ample Divisor

    Eiichi SATO

    Pages 665-691

  10. Book chapterAbstract only

    How Coarse the Coarse Moduli Spaces for Curves Are!

    Tsutomu SEKIGUCHI

    Pages 693-712

  11. Book chapterAbstract only

    Elementary Transformations of Algebraic Vector Bundles II

    Hideyasu SUMIHIRO

    Pages 713-748

  12. Book chapterAbstract only

    Discriminants of Curves of Genus 2 and Arithmetic Surfaces

    Kenji UENO

    Pages 749-770

  13. Book chapterAbstract only

    On the Irreducibility of the First Differential Equation of Painlevé

    Hiroshi UMEMURA

    Pages 771-789

  14. Book chapterAbstract only

    Study of F-purity in Demension Two

    Kei-ichi WATANABE

    Pages 791-800

  15. 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

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Editors

Hiroaki HIJIKATA

Heisuke HIRONAKA

Masaki MARUYAMA

Hideyuki MATSUMURA

Masayoshi MIYANISHI

Tadao ODA

Kenji UENO