On an Arithmetical Property of the Normalization of Regular Systems of Weights

UEDA, Yoshika

UEDA, Yoshika

Tokyo J. of Math., Tome 15 (1992) no. 2, p. 1-15 / Harvested from Project Euclid

Résumé

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.

Publié le : 1992-06-15
Classification:

@article{1270130248,
     author = {UEDA, Yoshika},
     title = {On an Arithmetical Property of the Normalization of Regular Systems of Weights},
     journal = {Tokyo J. of Math.},
     volume = {15},
     number = {2},
     year = {1992},
     pages = { 1-15},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270130248}
}

UEDA, Yoshika. On an Arithmetical Property of the Normalization of Regular Systems of Weights. Tokyo J. of Math., Tome 15 (1992) no. 2, pp.  1-15. http://gdmltest.u-ga.fr/item/1270130248/