## Tsukuba Journal of Mathematics

### Pinkham-Demazure construction for two dimensional cyclic quotient singularities

#### Abstract

The affine ring of any cyclic quotient singularity has countably many natural graded ring structures. In two dimensional case, we construct every such graded ring in terms of Q-coefficient divisor on $P^{1}$ which is naturally associated with a resolution of the singularity.

#### Article information

Source
Tsukuba J. Math., Volume 25, Number 1 (2001), 75-83.

Dates
First available in Project Euclid: 30 May 2017

https://projecteuclid.org/euclid.tkbjm/1496164213

Digital Object Identifier
doi:10.21099/tkbjm/1496164213

Mathematical Reviews number (MathSciNet)
MR1846869

Zentralblatt MATH identifier
1068.14005

#### Citation

Tomaru, Tadashi. Pinkham-Demazure construction for two dimensional cyclic quotient singularities. Tsukuba J. Math. 25 (2001), no. 1, 75--83. doi:10.21099/tkbjm/1496164213. https://projecteuclid.org/euclid.tkbjm/1496164213