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

• Κύριοι συγγραφείς: Guardo, Elena (Συγγραφέας), Van Tuyl, Adam (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Projective geometry.; Commutative Rings and Algebras.; Algebraic Geometry.; Projective Geometry.

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...

Πίνακας περιεχομένων:

• 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.