On the Lyubeznik numbers of a local ring

Walther, Uli

doi:10.1090/S0002-9939-00-05755-5

On the Lyubeznik numbers of a local ring
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by Uli Walther

Proc. Amer. Math. Soc. 129 (2001), 1631-1634

DOI: https://doi.org/10.1090/S0002-9939-00-05755-5

Published electronically: October 31, 2000

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Abstract:

We collect some information about the invariants $\lambda _{p,i}(A)$ of a commutative local ring $A$ containing a field introduced by G. Lyubeznik in 1993 (Finiteness properties of local cohomology modules, Invent. Math. 113, 41–55). We treat the cases $\dim (A)$ equal to zero, one and two, thereby answering in the negative a question raised in Lyubeznik’s paper. In fact, we will show that $\lambda _{p,i}(A)$ has in the two-dimensional case a topological interpretation.

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