Michael Chitayat

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math.AG2026

The Isomorphism Classes of the Surfaces $x_{1}^{a_{1}} + x_{2}^{a_{2}} + x_{3}^{a_{3}} + 1 = 0$

Michael Chitayat, Buddhadev Hajra

Let $f = x_{1}^{a_{1}} + x_{2}^{a_{2}} + x_{3}^{a_{3}} + 1 \in C [x_{1}, x_{2}, x_{3}]$ and let $g = y_{1}^{b_{1}} + y_{2}^{b_{2}} + y_{3}^{b_{3}} + 1 \in C [y_{1}, y_{2}, y_{3}]$ where $a_1,a_2,a_3,b_1,b…

math.AG2025

The Rigid Pham-Brieskorn Threefolds

Michael Chitayat, Adrien Dubouloz

We show that a $3$ -dimensional Pham-Brieskorn hypersurface ${X_{0}^{a_{0}} + X_{1}^{a_{1}} + X_{2}^{a_{2}} + X_{3}^{a_{3}} = 0}$ in $A^{4}$ such that $min {a_{0}, a_{1}, a_{2}, a_{3}} \geq 2$ a…

The Isomorphism Classes of the Surfaces x1a1​​+x2a2​​+x3a3​​+1=0

The Rigid Pham-Brieskorn Threefolds

The Isomorphism Classes of the Surfaces $x_{1}^{a_{1}} + x_{2}^{a_{2}} + x_{3}^{a_{3}} + 1 = 0$