Lyubeznik's invariants for cohomologically isolated singularities

Details Lyubeznik's invariants for cohomologically isolated singularities Lyubeznik's invariants for cohomologically isolated singularities

2005-06-03

arxiv.org/abs/math/0506058v1

J. Algebra 308 (2007), no. 1, 118-123

Mathematics

Algebraic Geometry

5 pages

Scientific paper

In this note I give a description of Lyubeznik's local cohomology invariants for a certain natural class of local rings, namely the ones which have the same local cohomology vanishing as one expects from an isolated singularity. This strengthens the results of Bondu and myself in math.AG/0406265 while at the same time somewhat simplifying the proofs. Through examples I further point out the bad behavior of these invariants under reduction to positive characteristic.

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