Regular Sequences and Resultants

ISBN: 1568811519

Category: Uncategorized


Posted on 2019-01-12, updated at 2019-01-31, by voska89.

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Gunter Scheja, Uwe Storch, "Regular Sequences and Resultants"




Gunter Scheja, Uwe Storch, "Regular Sequences and Resultants"
2001 | ISBN-10: 1568811519 | 142 pages | PDF | 13 MB
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.

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