## Browse content

### Table of contents

#### Actions for selected chapters

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- Book chapterAbstract only
#### Determinantal Loci and Enumerative Combinatorics of Young Tableaux

Shreeram S. ABHYANKAR

Pages 1-26 - Book chapterAbstract only
#### A Conjecture of Sharp — The Case of Local Rings with dim nonCM ≤ 1 or dim ≤ 5

Yoichi AOYAMA and Shiro GOTO

Pages 27-34 - Book chapterAbstract only
#### A Structure Theorem for Power Series Rings

Michael ARTIN and Christel ROTTHAUS

Pages 35-44 - Book chapterAbstract only
#### On Rational Plane Sextics with Six Tritangents

Wolf BARTH and Ross MOORE

Pages 45-58 - Book chapterAbstract only
#### On Rings of Invariants of Finite Linear Groups

Shizuo ENDO

Pages 59-64 - Book chapterAbstract only
#### Invariant Differentials

John FOGARTY

Pages 65-72 - Book chapterAbstract only
#### Classification of Polarized Manifolds of Sectional Genus Two

Takao FUJITA

Pages 73-98 - Book chapterAbstract only
#### Affine Surfaces with ≤ 1

R.V. GURJAR and M. MIYANISHI

Pages 99-124 - Book chapterAbstract only
#### On the Convolution Algebra of Distributions on Totally Disconnected Locally Compact Groups

Hiroaki HIJIKATA

Pages 125-140 - Book chapterAbstract only
#### The Local Cohomology Groups of an Affine Semigroup Ring

Masa-Nori ISHIDA

Pages 141-153 - Book chapterAbstract only
#### Quaternion Extensions

Christian U. JENSEN and Noriko YUI

Pages 155-182 - Book chapterAbstract only
#### On the Discriminants of the Intersection Form on Néron-Severi Groups

Toshiyuki KATSURA

Pages 183-201 - Book chapterAbstract only
#### On Complete Ideals in Regular Local Rings

Joseph LIPMAN

Pages 203-231 - Book chapterAbstract only
#### On a Compactification of a Moduli Space of Stable Vector Bundles on a Rational Surface

Masaki MARUYAMA

Pages 233-260 - Book chapterAbstract only
#### On the Dimension of Formal Fibres of a Local Ring

Hideyuki MATSUMURA

Pages 261-266 - Book chapterAbstract only
#### On the Classification Problem of Embedded Lines in Characteristic

*p*Tzuong-Tsieng MOH

Pages 267-279 - Book chapterAbstract only
#### A Cancellation Theorem for Projective Modules over Finitely Generated Rings

N. MOHAN KUMAR, M. Pavaman MURTHY and A. ROY

Pages 281-287 - Book chapterAbstract only
#### Semi-ampleness of the Numerically Effective Part of Zariski Decomposition II

Atsushi MORIWAKI

Pages 289-311 - Book chapterAbstract only
#### On the Moduli of Todorov Surfaces

David R. MORRISON

Pages 313-355 - Book chapterAbstract only
#### Curves, K3 Surfaces and Fano 3-folds of Genus ≤ 10

Shigeru MUKAI

Pages 357-377 - Book chapterAbstract only
#### Threefolds Homeomorphic to a Hyperquadric in P

^{4}Iku NAKAMURA

Pages 379-404

## 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 power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups. The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p. 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 power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups. The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.

## Details

### ISBN

978-0-12-348031-6

### Language

English

### Published

1988

### Copyright

Copyright © 1988 Elsevier Inc. All rights reserved.

### Imprint

Academic Press