ENGLISH

Regular Sequences and Resultants

By U. , Scheja , G.; Storch

Book information

Publisher
CRC Press
Year
2001
ISBN
1439863652, 9781439863657
Language
english
Format
PDF
Filesize
13 MB (13854094 bytes)
Series
Research Notes in Mathematics
Pages
142\76
Topic
Mathematics Algebra
Time added
2018-12-28 11:40:12

Description

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. Preliminaries..............1 Regular Sequences..............41 Elimination..............81 Resultants..............105

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