Vol. 170, No. 1, 1995

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On Gorenstein surface singularities with fundamental genus pf 2 which satisfy some minimality conditions

Tadashi Tomaru

Vol. 170 (1995), No. 1, 271–295
Abstract

In this paper we study normal surface singularities whose fundamental genus (:= the arithmetic genus of the fundamental cycle) is equal or greater than 2. For those singularities, we define some minimality conditions, and we study the relation between them. Further we define some sequence of such singularities, which is analogous to elliptic sequence for elliptic singularities. In the case of hypersurface singularities of Brieskorn type, we study some properties of the sequences.

Mathematical Subject Classification 2000
Primary: 14J17
Secondary: 14E15
Milestones
Received: 23 November 1992
Published: 1 September 1995
Authors
Tadashi Tomaru