Minimal resolutions for a class of Gorenstein determinantal ideals

2010 ◽  
Author(s):  
Heidi Hulsizer
Keyword(s):  
Determinantal Ideals ◽  
Minimal Resolutions

Minimal Resolutions Over Codimension 2 Complete Intersections

2018 ◽  
Vol 44 (1) ◽  
pp. 141-157
Author(s):  
David Eisenbud ◽  
Irena Peeva
Keyword(s):  
Complete Intersections ◽  
Minimal Resolutions

scholarly journals Minimal resolutions of geometric D-modules

2010 ◽  
Vol 214 (8) ◽  
pp. 1477-1496 ◽  
Author(s):  
Rémi Arcadias
Keyword(s):  
Minimal Resolutions

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 Minimal resolutions for finite groups

Topology ◽  
1965 ◽  
Vol 4 (2) ◽  
pp. 193-208 ◽  
Author(s):  
Richard G. Swan
Keyword(s):  
Finite Groups ◽  
Minimal Resolutions

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
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