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Characteristic cycles of local cohomology modules of monomial ideals II by Josep Àlvarez Montaner is a Mathematics article available to read on EtoBox.

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Let R = k[x1; : : : ; xn] be the polynomial ring in n independent variables, where k is a ÿeld of characteristic zero. In this work, we will describe the multiplicities of the characteristic cycle of the local cohomology modules H r I (R) supported on a squarefree monomial ideal I ⊆ R in terms of the Betti numbers of the Alexander dual ideal I ∨ . From this description we deduce a Gorensteinness criterion for the quotient ring R=I . On the other side, we give a formula for the characteristic cycle of the local cohomology modules H p p (H r I (R)), where p is any homogeneous prime ideal of R. This allows us to compute the Bass numbers of H r I (R) with respect to any prime ideal and describe its associated primes.

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Author

Josep Àlvarez Montaner

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0022-4049)

Published

2004

Language

EN

Field

Mathematics (Physical Sciences)