TY - JOUR
T1 - D-module structure of local cohomology modules of toric algebras
AU - Hsiao, Jen Chieh
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - Let S be a toric algebra over a field K of characteristic 0 and let I be a monomial ideal of S. We show that the local cohomology modules H i I (S) are of finite length over the ring of differential operators D(S;K), generalizing the classical case of a polynomial algebra S. As an application, we compute the characteristic cycles of some local cohomology modules.
AB - Let S be a toric algebra over a field K of characteristic 0 and let I be a monomial ideal of S. We show that the local cohomology modules H i I (S) are of finite length over the ring of differential operators D(S;K), generalizing the classical case of a polynomial algebra S. As an application, we compute the characteristic cycles of some local cohomology modules.
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U2 - 10.1090/S0002-9947-2012-05372-4
DO - 10.1090/S0002-9947-2012-05372-4
M3 - Article
AN - SCOPUS:84856650168
SN - 0002-9947
VL - 364
SP - 2461
EP - 2478
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 5
ER -