Universal Gröbner Bases for Maximal Minors of Matrices of Linear Forms

2015 ◽  
pp. 25-30
Author(s):  
Aldo Conca
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases ◽  
Linear Forms

Universal Gröbner Bases and Cartwright–Sturmfels Ideals

2018 ◽  
Vol 2020 (7) ◽  
pp. 1979-1991 ◽  
Author(s):  
A Conca ◽  
E De Negri ◽  
E Gorla
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases ◽  
Linear Forms ◽  
Theoretical Contribution ◽  
Main Application ◽  
Initial Ideals ◽  
Generic Initial Ideals ◽  
Hyperplane Sections ◽  
Universal Gröbner Basis ◽  
The Ideal

Abstract The main theoretical contribution of the paper is the description of two classes of multigraded ideals named after Cartwright and Sturmfels and the study of their surprising properties. Among other things we prove that these classes of ideals have very special multigraded generic initial ideals and are closed under several operations including arbitrary multigraded hyperplane sections. As a main application we describe the universal Gröbner basis of the ideal of maximal minors and the ideal of 2-minors of a multigraded matrix of linear forms generalizing earlier results of various authors including Bernstein, Sturmfels, Zelevinsky, and Boocher.

scholarly journals Gröbner bases for operads

2010 ◽  
Vol 153 (2) ◽  
pp. 363-396 ◽  
Author(s):  
Vladimir Dotsenko ◽  
Anton Khoroshkin
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases

scholarly journals Gröbner bases over fields with valuations

2018 ◽  
Vol 88 (315) ◽  
pp. 467-483 ◽  
Author(s):  
Andrew J. Chan ◽  
Diane Maclagan
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases
Sign in / Sign up

Export Citation Format

Share Document