Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1

Language: English

Published by Springer International Publishing Dez 2015, 2015

3319241648 / 9783319241647

Series: Book 64 of 155 - SpringerBriefs in Mathematics

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This item is printed on demand - it takes 3-4 days longer - Neuware -This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are reviewed first, followed by the basic properties of points in P^1 x P^1, the bigraded Hilbert function, and ACM sets of points. The authors then show how, using a combinatorial description of ACM points in P^1 x P^1, the bigraded Hilbert function can be computed and, as a result, solve the interpolation problem. In subsequent chapters, they consider fat points and double points in P^1 x P^1 and demonstrate how to use their results to answer questions and problems of interest in commutative algebra. Throughout the book, chapters end with a brief historical overview, citations of related results, and, where relevant, open questions that may inspire future research. Graduate students and researchers working in algebraic geometry and commutative algebra will find this book to be a valuable contribution to the literature. 144 pp. Englisch.…

Title
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
Author
Adam van Tuyl
Publisher
Springer International Publishing Dez 2015
Publication year
2015
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319241648
ISBN 13
9783319241647
Item weight
230 grams
Dimensions
235x155x9 mm
Series
Book 64 of 155: SpringerBriefs in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

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