Regular Sequences and Resultants (Research notes in mathematics, 8) - Hardcover

Buch 6 von 11: Research Notes in Mathematics

Scheja, Gunter; Storch, Uwe

 
9781568811512: Regular Sequences and Resultants (Research notes in mathematics, 8)

Inhaltsangabe

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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Scheja, Gunter; Storch, Uwe

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9780367455286: Regular Sequences and Resultants

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ISBN 10:  0367455285 ISBN 13:  9780367455286
Verlag: Routledge, 2019
Softcover