Edge ideals and DG algebra resolutions

Edge ideals and DG algebra resolutions

Let R = S/I where S = k[T_1, . . . , T_n] and I is a homogeneous ideal in S. The acyclic closure R<Y> of k over R is a DG algebra resolution obtained by means of Tate’s process of adjoining variables to kill cycles. In a similar way one can obtain the minimal model S[X], a DG algebra r...

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Bibliographic Details
Main Authors: Adam Boocher, Alessio D'Alì, Eloisa Grifo, Jonathan Montano, Alessio Sammartano
Format: Article
Language:English
Published: Università degli Studi di Catania 2015-05-01
Series:Le Matematiche
Subjects:
DG algebra resolution
Koszul homology
acyclic closure
minimal model
deviations
Poincaré series
Hilbert series
Koszul algebra
edge ideal
paths and cycles
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1236

Internet

http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1236

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