scholarly journals Minimal free resolutions of ideals of minors associated to pairs of matrices

2021 ◽  
pp. 1
Author(s):  
András Cristian Lőrincz
Keyword(s):  
Free Resolutions ◽  
Minimal Free Resolutions

scholarly journals Computing minimal free resolutions of right modules over noncommutative algebras

2017 ◽  
Vol 478 ◽  
pp. 458-483 ◽  
Author(s):  
Roberto La Scala
Keyword(s):  
Free Resolutions ◽  
Noncommutative Algebras ◽  
Minimal Free Resolutions

On the Computation of Minimal Free Resolutions with Integer Coefficients

2019 ◽  
pp. 51-72
Author(s):  
Soda Diop ◽  
Guy Mobouale Wamba ◽  
Andre Saint Eudes Mialebama Bouesso ◽  
Djiby Sow
Keyword(s):  
Free Resolutions ◽  
Integer Coefficients ◽  
Minimal Free Resolutions

scholarly journals Bundles on with vanishing lower cohomologies

2020 ◽  
pp. 1-20
Author(s):  
Mengyuan Zhang
Keyword(s):  
Hilbert Function ◽  
Betti Numbers ◽  
Projective Spaces ◽  
Hilbert Functions ◽  
Free Resolutions ◽  
Rational Varieties ◽  
Minimal Free Resolutions ◽  
Graded Lattice

Abstract We study bundles on projective spaces that have vanishing lower cohomologies using their short minimal free resolutions. We partition the moduli $\mathcal{M}$ according to the Hilbert function H and classify all possible Hilbert functions H of such bundles. For each H, we describe a stratification of $\mathcal{M}_H$ by quotients of rational varieties. We show that the closed strata form a graded lattice given by the Betti numbers.

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′.

Minimal free resolutions for certain affine monomial curves

2011 ◽  
pp. 87-95 ◽  
Author(s):  
Philippe Gimenez ◽  
Indranath Sengupta ◽  
Hema Srinivasan
Keyword(s):  
Free Resolutions ◽  
Monomial Curves ◽  
Minimal Free Resolutions

scholarly journals Minimal free resolutions for homogeneous ideals with Betti numbers 1, n, n,1

2019 ◽  
Vol 47 (8) ◽  
pp. 3123-3140
Author(s):  
Alfio Ragusa ◽  
Giuseppe Zappalà
Keyword(s):  
Betti Numbers ◽  
Free Resolutions ◽  
Minimal Free Resolutions ◽  
Homogeneous Ideals

scholarly journals The minimal free resolutions of the Huneke—Ulrich deviation two gorenstein ideals

1986 ◽  
Vol 100 (1) ◽  
pp. 265-304 ◽  
Author(s):  
Andrew R Kustin
Keyword(s):  
Free Resolutions ◽  
Minimal Free Resolutions

Minimal free resolutions for subschemes of star configurations

2016 ◽  
Vol 220 (1) ◽  
pp. 278-291 ◽  
Author(s):  
Alfio Ragusa ◽  
Giuseppe Zappalà
Keyword(s):  
Free Resolutions ◽  
Minimal Free Resolutions ◽  
Star Configurations

scholarly journals Minimal free resolutions that are not supported by a CW-complex

2008 ◽  
Vol 319 (1) ◽  
pp. 102-114 ◽  
Author(s):  
Mauricio Velasco
Keyword(s):  
Free Resolutions ◽  
Cw Complex ◽  
Minimal Free Resolutions

scholarly journals On the Behavior of Minimal Free Resolutions of Trivariate Generic Monomial Ideals

2014 ◽  
Vol 43 (2) ◽  
pp. 521-540
Author(s):  
Jared L. Painter
Keyword(s):  
Monomial Ideals ◽  
Free Resolutions ◽  
Minimal Free Resolutions
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