Michael Chitayat

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20192026

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Showing 2023 · math.AGShow all

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math.AG2023

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…

math.AG2023

Rationality of weighted hypersurfaces of special degree

Michael Chitayat

Let $X \subset P (w_{0}, w_{1}, w_{2}, w_{3})$ be a quasismooth well-formed weighted projective hypersurface and let $L = l c m (w_{0}, w_{1}, w_{2}, w_{3})$ . We characterize when $X$ is rationa…