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

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

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 a...

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Bibliographic Details
Published in:Springer eBooks
Main Authors: Guardo, Elena (Author), Van Tuyl, Adam (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:SpringerBriefs in Mathematics,
Subjects:
mathematics.
Algebraic Geometry.
Commutative algebra.
Commutative rings.
Projective Geometry.
Mathematics.
Commutative Rings and Algebras.
Online Access:http://dx.doi.org/10.1007/978-3-319-24166-1
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Table of Contents:
  • Introduction
  • The Biprojective Space P^1 x P^1
  • Points in P^1 x P^1
  • Classification of ACM Sets of Points in P^1 x P^1
  • Homological Invariants
  • Fat Points in P^1 x P^1
  • Double Points and Their Resolution
  • Applications
  • References.

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