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June 2012 On the Yau cycle of a normal surface singularity
Kazuhiro Konno
Asian J. Math. 16(2): 279-298 (June 2012).

Abstract

The notion of the Yau sequence was introduced by Tomaru, as an attempt to extend Yau’s elliptic sequence for (weakly) elliptic singularities to normal surface singularities of higher fundamental genera. We show some fundamental properties of the sequence. Among other things, it is shown that its length gives us the arithmetic genus for singular points of fundamental genus two. Furthermore, an upper bound on the geometric genus is given for certain surface singularities of degree one. The relation between the canonical cycle and the Yau cycle is also discussed.

Citation

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Kazuhiro Konno. "On the Yau cycle of a normal surface singularity." Asian J. Math. 16 (2) 279 - 298, June 2012.

Information

Published: June 2012
First available in Project Euclid: 9 April 2012

zbMATH: 1257.14024
MathSciNet: MR2916365

Subjects:
Primary: 14J17

Keywords: canonical cycle , Surface singularity , Yau cycle

Rights: Copyright © 2012 International Press of Boston

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Vol.16 • No. 2 • June 2012
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