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On The Lyubeznik Numbers Of A Local Ring
"... We collect some information about the invariants λ_p,i(A) of a local ring A introduced by G. Lyubeznik in [Ly]. We treat the cases dim(A) equal to zero, one and two, thereby answering in the negative a question raised in [Ly]. In fact, we will show that λ_2,2(A) has in the twodimensio ..."
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We collect some information about the invariants λ_p,i(A) of a local ring A introduced by G. Lyubeznik in [Ly]. We treat the cases dim(A) equal to zero, one and two, thereby answering in the negative a question raised in [Ly]. In fact, we will show that λ_2,2(A) has in the twodimensional case a topological interpretation.
ON THE LYUBEZNIK NUMBERS OF A LOCAL RING
"... Abstract. We collect some information about the invariants λp,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 answeri ..."
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Abstract. We collect some information about the invariants λp,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 λp,i(A) has in the twodimensional case a topological interpretation. 1.