عنوان

Regular sequences and resultants /

(Number (ISBN

1439863652

(Number (ISBN

9781439863657

Erroneous ISBN

1568811519

Erroneous ISBN

9781568811512

Title Proper

Regular sequences and resultants /

General Material Designation

[Book]

First Statement of Responsibility

Günter Scheja, Uwe Storch.

Place of Publication, Distribution, etc.

Natick, Mass. :

Name of Publisher, Distributor, etc.

A K Peters,

Date of Publication, Distribution, etc.

©2001.

Specific Material Designation and Extent of Item

1 online resource.

Series Title

Research notes in mathematics ;

Volume Designation

v. 8

Text of Note

Includes bibliographical references and index.

Text of Note

1Kronecker Extensions1 -- 2Modules and Kronecker Extensions6 -- 3Numerical Monoids13 -- 4Relations of Numerical Monoids23 -- 5Splitting of Numerical Monoids36 -- IIRegular Sequences -- 6Regular Sequences and Complete Intersections41 -- 7Graded Complete Intersections53 -- 8Generic Regular Sequences60 -- 9Generic Structure of the Principal Component75 -- IIIElimination -- 10Basics of Elimination81 -- 11Main Case for Generic Regular Sequences85 -- 12Main Case for Regular Sequences96 -- IVResultants -- 13Resultant Ideals105 -- 14Resultant Divisors and Duality109 -- 15Resultants119 -- 16Formulas on Resultants129.

0

Text of Note

This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings. Elimination theory is a classical topic in commutative algebra and algebraic geometry, and it has become of renewed importance recently in the context of applied and computational algebra. This monograph provides a valuable complement to sparse elimination theory in that it presents in careful detail the algebraic difficulties from working over general base rings. This is essential for applications in arithmetic geometry and many other places. Necessary tools concerning monoids of weights, generic polynomials and regular sequences are treated independently in the first part of the book. Many supplements added to each chapter provide extra details and insightful examples. Necessary tools concerning monoids of weights, generic polynomials and regular sequences are treated independently in the first part of the book. Many supplements added to each chapter provide extra details and insightful examples.

Source for Acquisition/Subscription Address

Ingram Content Group

Stock Number

TANDF_233817

International Standard Book Number

9781568811512

Elimination.

Intersection theory (Mathematics)

Projective spaces.

Sequences (Mathematics)

Elimination

Elimination.

Folge

Intersection theory (Mathematics)

MATHEMATICS-- Algebra-- Intermediate.

Projective spaces.

Projektiver Raum

Sequences (Mathematics)

MAT-- 002040

PBF

PBH

Number

Edition

Class number

Scheja, Günter,1932-

Storch, Uwe.

Date of Transaction

20200822183220.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y