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June 1992 On an Arithmetical Property of the Normalization of Regular Systems of Weights
Yoshika UEDA
Tokyo J. Math. 15(1): 1-15 (June 1992). DOI: 10.3836/tjm/1270130248

Abstract

The weights of a two-dimensional weighted homogeneous polynomial $f$ of degree $h$ corresponding to an isolated singularity are arithmetically characterized by Prof. K. Saito and are called a regular system of weights. Let $m_0$ be the dimension of the vector space of the elements of degree $h$ of the Jacobi ring of $f$. It is shown that $m_0$ is determined by weights and is estimated from below by using the genus of the central curve and the number of branches of a minimal good resolution of the corresponding singularity.

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Yoshika UEDA. "On an Arithmetical Property of the Normalization of Regular Systems of Weights." Tokyo J. Math. 15 (1) 1 - 15, June 1992. https://doi.org/10.3836/tjm/1270130248

Information

Published: June 1992
First available in Project Euclid: 1 April 2010

zbMATH: 0774.14003
MathSciNet: MR1164183
Digital Object Identifier: 10.3836/tjm/1270130248

Rights: Copyright © 1992 Publication Committee for the Tokyo Journal of Mathematics

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Vol.15 • No. 1 • June 1992
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