Determinants, Gröbner Bases and Cohomology /

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry. After a concise introduction to Gröbner and Sagbi bases, determinantal ideals...

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Bibliographic Details
Main Authors:	Bruns, Winfried (Author), Conca, Aldo (Author), Raicu, Claudiu (Author), Varbaro, Matteo (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2022.
Edition:	1st ed. 2022.
Series:	Springer Monographs in Mathematics,
Subjects:	Algebraic geometry. Commutative algebra. Commutative rings. Algebra, Homological. Discrete mathematics. Algebraic Geometry. Commutative Rings and Algebras. Category Theory, Homological Algebra. Discrete Mathematics. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1 Gröbner bases, initial ideals and initial algebras
2 More on Gröbner deformations
3 Determinantal ideals and the straightening law
4 Gröbner bases of determinantal ideals
5 Universal Gröbner bases
6 Algebras defined by minors
7 F-singularities of determinantal rings
8 Castelnuovo-Mumford regularity
9 Grassmannians, flag varieties, Schur functors and cohomology
10 Asymptotic regularity for symbolic powers of determinantal ideals
11 Cohomology and regularity in characteristic zero.