B. Baily

activity

20222026

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math.AC2025

On lower bounds for the F-pure threshold of equigenerated ideals

Benjamin Baily

Let $k$ be a field of positive characteristic and $R = k [x_{0}, \dots, x_{n}]$ . We consider ideals $I \subseteq R$ generated by homogeneous polynomials of degree $d$ . Takagi and Watanabe…

math.AC2025

On deformation of perfectoid purity in Gorenstein domains

Benjamin Baily, Karina Dovgodko, Austyn Simpson +1

If $(R, m)$ is a complete local ring of mixed characteristic $(0, p)$ and $R / pR$ is an $F$ -pure Gorenstein domain, we find a sufficient condition for $R$ to be perfectoid…