D-module structure of local cohomology modules of toric algebras

研究成果: Article

3 引文 (Scopus)

摘要

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.

原文English
頁(從 - 到)2461-2478
頁數18
期刊Transactions of the American Mathematical Society
364
發行號5
DOIs
出版狀態Published - 2012 二月 10

指紋

Local Cohomology Modules
D-module
Algebra
Ring of Differential Operators
Monomial Ideals
Polynomial Algebra
Si
Polynomials
Cycle

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

引用此文

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