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Lyubeznik numbers of monomial ideals

Autor
Alvarez, J.; Vahidi, A.
Tipus d'activitat
Article en revista
Revista
Transactions of the American Mathematical Society
Data de publicació
2014-04-01
Volum
366
Número
4
Pàgina inicial
1829
Pàgina final
1855
DOI
https://doi.org/10.1090/S0002-9947-2013-05862-X Obrir en finestra nova
URL
http://www.ams.org/journals/tran/2014-366-04/S0002-9947-2013-05862-X/home.html Obrir en finestra nova
Resum
Let R = k[x(1), ... , x(n)] be the polynomial ring in n independent variables, where k is a field. In this work we will study Bass numbers of local cohomology modules H-I(r)(R) supported on a squarefree monomial ideal I subset of R. Among them we are mainly interested in Lyubeznik numbers. We build a dictionary between the modules H-I(r)(R) and the minimal free resolution of the Alexander dual ideal I-boolean OR that allows us to interpret Lyubeznik numbers as the obstruction to the acyclicity o...
Paraules clau
ALEXANDER DUALITY, ARRANGEMENTS, BASS NUMBERS, DIMENSION, FREE RESOLUTIONS, INVARIANTS, LOCAL COHOMOLOGY MODULES, PERVERSE SHEAVES, SINGULAR SUPPORT, STANLEY-REISNER RINGS
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants