Universal Abelian covers of rational surface singularities and multi-index filtrations
نویسندگان
چکیده
منابع مشابه
Universal Abelian Covers of Certain Surface Singularities
Every normal complex surface singularity with Q-homology sphere link has a universal abelian cover. It has been conjectured by Neumann and Wahl that the universal abelian cover of a rational or minimally elliptic singularity is a complete intersection singularity defined by a system of “splice diagram equations”. In this paper we introduce a Neumann-Wahl system, which is an analogue of the syst...
متن کاملUniversal Abelian Covers of Surface Singularities
We discuss the evidence for and implications of a conjecture that the universal abelian cover of a Q-Gorenstein surface singularity with finite local homology (i.e., the singularity link is a Q-homology sphere) is a complete intersection singularity.
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The topology of a normal surface singularity does not determine the analytical invariants of its equisingularity class, but recent partial results indicated that this should be true under two restrictions, a topological one, that the link of the singularity is a rational homology sphere, and an analytical one, that the singularity is Q-Gorenstein. Neumann and Wahl conjectured that the singulari...
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It has long been known that every quasi-homogeneous normal complex surface singularity with Q–homology sphere link has universal abelian cover a Brieskorn complete intersection singularity. We describe a broad generalization: First, one has a class of complete intersection normal complex surface singularities called “splice type singularities,” which generalize Brieskorn complete intersections....
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We examine some recent work of Phillip Griffith on étale covers and fibered products from the point of view of tight closure theory. While it is known that cyclic covers of Gorenstein rings with rational singularities are Cohen-Macaulay, we show this is not true in general in the absence of the Gorenstein hypothesis. Specifically, we show that the canonical cover of a Q-Gorenstein ring with rat...
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ژورنال
عنوان ژورنال: Functional Analysis and Its Applications
سال: 2008
ISSN: 0016-2663,1573-8485
DOI: 10.1007/s10688-008-0013-7