On the Resiliency of Determinantal Ideals

2018 ◽  
Author(s):  
David Eisenbud
Keyword(s):  
Determinantal Ideals

scholarly journals Determinantal ideals without minimal free resolutions

1990 ◽  
Vol 118 ◽  
pp. 203-216 ◽  
Author(s):  
Mitsuyasu Hashimoto
Keyword(s):  
Free Resolution ◽  
Unit Element ◽  
Free Resolutions ◽  
Minimal Free Resolution ◽  
Determinantal Ideals ◽  
Arbitrary Base ◽  
Generic Matrix ◽  
Base Ring ◽  
Minimal Free Resolutions ◽  
The Ideal

Let R be a Noetherian commutative ring with, unit element, and Xij be variables with 1 ≤ i ≤ m and 1 ≤ j ≤ n. Let S = R[xij] be the polynomial ring over R, and It be the ideal in S, generated by the t × t minors of the generic matrix (xij) ∈ Mm, n(S). For many years there has been considerable interest in finding a minimal free resolution of S/It, over arbitrary base ring R. If we have a minimal free resolution P. over R = Z, the ring of integers, then R′ ⊗z P. is a resolution of S/It over the base ring R′.

scholarly journals Typical ranks for 3-tensors, nonsingular bilinear maps and determinantal ideals

2017 ◽  
Vol 471 ◽  
pp. 409-453 ◽  
Author(s):  
Toshio Sumi ◽  
Mitsuhiro Miyazaki ◽  
Toshio Sakata
Keyword(s):  
Bilinear Maps ◽  
Determinantal Ideals

scholarly journals On determinantal ideals and algebraic dependence

2019 ◽  
Vol 47 (6) ◽  
pp. 2357-2366
Author(s):  
Margherita Barile ◽  
Antonio Macchia
Keyword(s):  
Algebraic Dependence ◽  
Determinantal Ideals

Rings of invariants and linkage of determinantal ideals

1986 ◽  
Vol 274 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Bernd Ulrich
Keyword(s):  
Determinantal Ideals

scholarly journals Type-B generalized triangulations and determinantal ideals

2009 ◽  
Vol 309 (9) ◽  
pp. 2782-2797 ◽  
Author(s):  
Daniel Soll ◽  
Volkmar Welker
Keyword(s):  
Type B ◽  
Determinantal Ideals

scholarly journals Betti numbers of determinantal ideals

2007 ◽  
Vol 318 (2) ◽  
pp. 653-668 ◽  
Author(s):  
Rosa M. Miró-Roig
Keyword(s):  
Betti Numbers ◽  
Determinantal Ideals
Sign in / Sign up

Export Citation Format

Share Document