Algebraic Geometry and Commutative Algebra - 1st Edition - ISBN: 9780123480316, 9781483265186

Algebraic Geometry and Commutative Algebra

1st Edition

In Honor of Masayoshi Nagata

Editors: Hiroaki Hijikata Heisuke Hironaka Masaki Maruyama
eBook ISBN: 9781483265186
Imprint: Academic Press
Published Date: 28th March 1989
Page Count: 416
Sales tax will be calculated at check-out Price includes VAT/GST
72.95
54.95
43.99
Unavailable
Price includes VAT/GST
× DRM-Free

Easy - Download and start reading immediately. There’s no activation process to access eBooks; all eBooks are fully searchable, and enabled for copying, pasting, and printing.

Flexible - Read on multiple operating systems and devices. Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle.

Open - Buy once, receive and download all available eBook formats, including PDF, EPUB, and Mobi (for Kindle).

Institutional Access

Secure Checkout

Personal information is secured with SSL technology.

Free Shipping

Free global shipping
No minimum order.

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.

Table of Contents


Determinantal Loci and Enumerative Combinatorics of Young Tableaux


A Conjecture of Sharp - The Case of Local Rings with dim nonCM ≤ 1 or dim ≤ 5


A Structure Theorem for Power Series Rings


On Rational Plane Sextics with Six Tritangents


On Rings of Invariants of Finite Linear Groups


Invariant Differentials


Classification of Polarized Manifolds of Sectional Genus Two


Affine Surfaces with K ≤ 1


On the Convolution Algebra of Distributions on Totally Disconnected Locally Compact Groups


The Local Cohomology Groups of an Affine Semigroup Ring


Quaternion Extensions


On the Discriminants of the Intersection Form on Néron-Severi Groups


On Complete Ideals in Regular Local Rings


On a Compactification of a Moduli Space of Stable Vector Bundles on a Rational Surface


On the Dimension of Formal Fibres of a Local Ring


On the Classification Problem of Embedded Lines in Characteristic p


A Cancellation Theorem for Projective Modules over Finitely Generated Rings


Semi-Ampleness of the Numerically Effective Part of Zariski Decomposition, II


On the Moduli of Todorov Surfaces


Curves, K3 Surfaces and Fano 3-Folds of Genus ≤ 10


Threefolds Homeomorphic to a Hyperquadric in P4


On Weierstrass Models


Canonical Bundles of Analytic Surfaces of Class VII0


Ideal-Adic Completion of Noetherian Rings II


Endomorphism Algebras of Abelian Varieties


On the Canonical Ring of a Curve


Algebraic Surfaces for Regular Systems of Weights (with an Appendix by Isao Naruki)


Generic Torelli Theorem for Hypersurfaces in Compact Irreducible Hermitian Symmetric Spaces


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


How Coarse the Coarse Moduli Spaces for Curves Are?


Elementary Transformations of Algebraic Vector Bundles II


Discrim

Details

No. of pages:
416
Language:
English
Copyright:
© Academic Press 1988
Published:
Imprint:
Academic Press
eBook ISBN:
9781483265186

About the Editor

Hiroaki Hijikata

Heisuke Hironaka

Masaki Maruyama

Ratings and Reviews