scholarly journals Free resolutions of some Schubert singularities in the Lagrangian Grassmannian

2015 ◽  
Vol 279 (1-2) ◽  
pp. 329-355
Author(s):  
Venkatramani Lakshmibai ◽  
Reuven Hodges
Keyword(s):  
Free Resolutions ◽  
Lagrangian Grassmannian

Free resolutions for deformations of maximal cohen-macaulay modules

2000 ◽  
Vol 28 (11) ◽  
pp. 5329-5352 ◽  
Author(s):  
Liam O'Carroll ◽  
Dorin Popescu
Keyword(s):  
Free Resolutions

Free Resolutions

1998 ◽  
pp. 234-289 ◽  
Author(s):  
David Cox ◽  
John Little ◽  
Donal O’Shea
Keyword(s):  
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 Generic free resolutions and root systems

2018 ◽  
Vol 68 (3) ◽  
pp. 1241-1296
Author(s):  
Jerzy Weyman
Keyword(s):  
Root Systems ◽  
Free Resolutions
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