Josep Àlvarez Montaner

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20002011

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math.AG2006

Computing the support of local cohomology modules

Josep Àlvarez Montaner, Anton Leykin

For a polynomial ring $R = k [x_{1}, ..., x_{n}]$ , we present a method to compute the characteristic cycle of the localization $R_{f}$ for any nonzero polynomial $f \in R$ that avoids a direct…

math.AG2000

Local Cohomology, Arrangement of Subspaces and Monomial Ideals

Josep Alvarez Montaner, Ricardo Garcia Lopez, Santiago Zarzuela

Let $k$ be a field of characteristic zero and I an ideal defining an arrangement of linear subspaces in the affine space $A_{k}^{n}$ . We compute the D-module theoretic characteristic c…