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"This book 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 has become of renewed importance in the context of applied and computational algebra.
This book provides a valuable complement to sparse elimination theory in that it presents, in careful detail, the algebraic difficulties of working over general base rings, which is essential for many applications including arithmetic geometry. Necessary tools concerning monoids of weights, generic polynomials, and regular sequences are treated independently in the first part of the book. Supplements following each section provide extra details and insightful examples."--BOOK JACKET.
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Subjects
Elimination, Sequences (Mathematics), Projective spaces, Intersection theory, Mathematics, Science/Mathematics, Matrices, Algebra - General, Geometry - Algebraic, Advanced, Sequences (mathematics), Intersection theory (Mathematics), Élimination (Algèbre), Espaces projectifs, Théorie des intersections, Suites (Mathématiques), MATHEMATICS, Algebra, Intermediate, Folge, Projektiver RaumShowing 6 featured editions. View all 6 editions?
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Regular Sequences and Resultants: Research Notes in Mathematics, Volume 8 (Research Notes in Mathematics (Boston, Mass.), 8.)
May 15, 2001, AK Peters
Hardcover
in English
1568811519 9781568811512
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June 17, 2023 | Created by ImportBot | Imported from Better World Books record |