A criterion for the logarithmic differential operators to be generated by vector fields

dc.creatorSchulze, Mathias
dc.date2004-06-01
dc.date2006-08-30
dc.date.accessioned2026-07-07T08:32:43Z
dc.date.available2026-07-07T08:32:43Z
dc.descriptionWe study divisors in a complex manifold in view of the property that the algebra of logarithmic differential operators along the divisor is generated by logarithmic vector fields. We give a sufficient criterion for the property, a simple proof of F.J. Calderon-Moreno's theorem that free divisors have the property, a proof that divisors in dimension 3 with only isolated quasi-homogeneous singularities have the property, an example of a non-free divisor with non-isolated singularity having the property, an example of a divisor not having the property, and an algorithm to compute the V-filtration along a divisor up to a given order.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0406023
dc.identifierhttp://arxiv.org/abs/math/0406023
dc.identifierProc. Amer. Math. Soc. 135 (2007), 3631-3640
dc.identifierdoi:10.1090/S0002-9939-07-08969-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138882
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subject32S65; 32C38
dc.titleA criterion for the logarithmic differential operators to be generated by vector fields
dc.typetext

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