Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1 (1st ed. 2015.)

閲覧数: 6
ダウンロード数: 0
このエントリーをはてなブックマークに追加

Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1 (1st ed. 2015.)

フォーマット:
電子ブック
責任表示:
by Elena Guardo, Adam Van Tuyl
本文言語:
英語
出版情報:
Cham, Germany. 2015-. Springer International Publishing,Imprint: Springer
シリーズ:
SpringerBriefs in Mathematics
概要:
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. 続きを見る
目次:
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.
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
続きを見る
本文を見る

類似資料:

1
Applications of Computer Algebra : Kalamata, Greece, July 20–23 2015 by Kotsireas, Ilias S; Martínez-Moro, Edgar; SpringerLink
2
Hyperplane Arrangements : An Introduction by Dimca, Alexandru; SpringerLink
8
Computational Linear and Commutative Algebra by Kreuzer, Martin; Robbiano, Lorenzo; SpringerLink
3
Multiplicative Ideal Theory and Factorization Theory : Commutative and Non-commutative Perspectives by Chapman, Scott; Fontana, Marco; Geroldinger, Alfred; Olberding, Bruce; SpringerLink
4
Minimal Free Resolutions over Complete Intersections by Eisenbud, David; Peeva, Irena; SpringerLink
10
Numerical Semigroups and Applications by Assi, Abdallah; García-Sánchez, Pedro A; SpringerLink
5
Foundations of Commutative Rings and Their Modules by Wang, Fanggui; Kim, Hwankoo; SpringerLink
11
Algebraic Geometry and Number Theory : Summer School, Galatasaray University, Istanbul, 2014 by Mourtada, Hussein; Sarıoğlu, Celal Cem; Soulé, Christophe; Zeytin, Ayberk; SpringerLink
6
On the Geometry of Some Special Projective Varieties by Russo, Francesco; SpringerLink
12
Projective Geometry : Solved Problems and Theory Review by Fortuna, Elisabetta; Frigerio, Roberto; Pardini, Rita; SpringerLink
1.
Applications of Computer Algebra : Kalamata, Greece, July 20–23 2015 by Kotsireas, Ilias S; Martínez-Moro, Edgar; SpringerLink
2.
Hyperplane Arrangements : An Introduction by Dimca, Alexandru; SpringerLink
3.
Multiplicative Ideal Theory and Factorization Theory : Commutative and Non-commutative Perspectives by Chapman, Scott; Fontana, Marco; Geroldinger, Alfred; Olberding, Bruce; SpringerLink
4.
Minimal Free Resolutions over Complete Intersections by Eisenbud, David; Peeva, Irena; SpringerLink
5.
Foundations of Commutative Rings and Their Modules by Wang, Fanggui; Kim, Hwankoo; SpringerLink
6.
On the Geometry of Some Special Projective Varieties by Russo, Francesco; SpringerLink
8.
Computational Linear and Commutative Algebra by Kreuzer, Martin; Robbiano, Lorenzo; SpringerLink
10.
Numerical Semigroups and Applications by Assi, Abdallah; García-Sánchez, Pedro A; SpringerLink
11.
Algebraic Geometry and Number Theory : Summer School, Galatasaray University, Istanbul, 2014 by Mourtada, Hussein; Sarıoğlu, Celal Cem; Soulé, Christophe; Zeytin, Ayberk; SpringerLink
12.
Projective Geometry : Solved Problems and Theory Review by Fortuna, Elisabetta; Frigerio, Roberto; Pardini, Rita; SpringerLink