Michael Chitayat

activity

20192025

collaborators

3 papers

math.AT2025

The Fundamental Group of a Compact Riemann Surface via Branched Covers

Meirav Amram, Michael Chitayat, Yaacov Kopeliovich

Let $X$ be a compact Riemann surface of genus $g$ and let $x \in X$ . We derive the classical presentation of $π_{1} (X, x)$ (i.e the one given by $2 g$ generators $a_1,b_1, \dots, a_g,b…

math.AG2021

Locally nilpotent derivations of graded integral domains and cylindricity

Michael Chitayat, Daniel Daigle

Let B be a commutative $Z$ -graded domain of characteristic zero. An element f of B is said to be cylindrical if it is nonzero, homogeneous of nonzero degree, and such that…

math.AC2019

On the rigidity of certain Pham-Brieskorn rings

Michael Chitayat, Daniel Daigle

Fix a field $k$ of characteristic zero. If $a_{1}, ..., a_{n}$ ( $n > 2$ ) are positive integers, the integral domain $B = k [X_{1}, ..., X_{n}] / (X_{1}^{a_{1}} + ... + X_{n}^{a_{n}})$ is called a P…