B. Baily

activity

20222026

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math.AG2026

Closedness of bounded strength and partition rank loci

Benjamin Baily, Alessandro Danelon

We show the existence of a quartic form of strength $3$ in the closure of the strength at most $2$ locus, answering a question of Ballico--Bik--Oneto--Ventura in the negative. In t…

math.AC2026

Homogeneous ideals with minimal singularity thresholds

Benjamin Baily

Let $(O_{n}, m)$ denote the ring of germs of holomorphic functions $C^{n} \to C$ , and let $I \subseteq O_{n}$ be an $m$ -primary…

math.AC2026

Extremal F-thresholds in regular local rings

Benjamin Baily

Let $(R, m)$ be a regular local ring of characteristic $p > 0$ . Among all proper ideals $a \subseteq R$ with a fixed order of vanishing $\text{ord}_{\mathfrak{…