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The Second Pluri-Genus of Surface Singularities

Published online by Cambridge University Press:  04 December 2007

TOMOHIRO OKUMA
TOMOHIRO OKUMA
Affiliation:
Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305, Japan; e-mail: okuma@math.tsukuba.ac.jp
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Abstract

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This paper studies the second pluri-genus of surface singularities. We give a formula for this invariant of a Gorenstein singularity, and several inequalities relating the invariant with the Milnor number, Tjurina number and the modality of a hypersurface singularity.

Keywords

surface singularitypluri genusdeformationMilnor numberTjurina numbermodality.
Type
Research Article
Information
Compositio Mathematica , Volume 110 , Issue 3 , February 1998 , pp. 263 - 276
Copyright
© 1998 Kluwer Academic Publishers