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

Name: Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
Brand: Springer International Publishing AG
SKU: 9783319241647
Price: 52.58 EUR
Availability: InStock

Автор: Elena Guardo, Adam van Tuyl

Език:

Корици: С меки корици

Издател: Springer International Publishing AG

Наличност: Външен склад

Изпращаме след 5-8 дни

52.58 € 102.83 лв

This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM)...

Информация за книгата

Автор

Elena Guardo, Adam van Tuyl

Език

Английски език

Корици

Книга - С меки корици

Издадена

2015

страници

134

EAN

9783319241647

ISBN

3319241648

Enbook ID

09503642

Издател

Springer International Publishing AG

Теглоt

242

Размери

237 x 160 x 9

Пълно описание

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 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.

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

Информация за книгата

Пълно описание

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