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On the Lyubeznik numbers of a local ring
Author(s):
Uli
Walther
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1631-1634.
MSC (2000):
Primary 13D45, 14B15;
Secondary 14F40
Posted:
October 31, 2000
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Abstract:
We collect some information about the invariants  of a commutative local ring  containing a field introduced by G. Lyubeznik in 1993 (Finiteness properties of local cohomology modules, Invent. Math. 113, 41-55). We treat the cases  equal to zero, one and two, thereby answering in the negative a question raised in Lyubeznik's paper. In fact, we will show that  has in the two-dimensional case a topological interpretation.
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Additional Information:
Uli
Walther
Affiliation:
Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720
Address at time of publication:
Department of Mathematics, 1395 Mathematical Sciences Building, Purdue University, West Lafayette, Indiana 47907
Email:
walther@msri.org, walther@math.purdue.edu
DOI:
10.1090/S0002-9939-00-05755-5
PII:
S 0002-9939(00)05755-5
Keywords:
Local cohomology,
Lyubeznik numbers
Received by editor(s):
June 3, 1999
Received by editor(s) in revised form:
September 28, 1999
Posted:
October 31, 2000
Additional Notes:
The author was supported by the A.P. Sloan Foundation.
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
2000,
American Mathematical Society
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