7 citations · 7 across the 1 of their papers we have counts for
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On some local cohomology spectral sequences
Josep Àlvarez Montaner, Alberto F. Boix, Santiago Zarzuela
We introduce a formalism to produce several families of spectral sequences involving the derived functors of the limit and colimit functors over a finite partially ordered set. The…
Pruned cellular free resolutions of monomial ideals
Josep Àlvarez Montaner, Oscar Fernández-Ramos, Philippe Gimenez
Using discrete Morse theory, we give an algorithm that prunes the excess of information in the Taylor resolution and constructs a new cellular free resolution for an arbitrary mono…
Lyubeznik numbers of local rings and linear strands of graded ideals
Josep Alvarez Montaner, Kohji Yanagawa
In this work we introduce a new set of invariants associated to the linear strands of a minimal free resolution of a -graded ideal $I\subseteq R=\Bbbk[x_1, \ldots, x_n]…