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20122026
most citedPerfectoid multiplier/test ideals in regular rings and bounds on symbolic powers

41 citations · 191 across the 44 of their papers we have counts for

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math.AG2026

Perfectoid Pure and Signature Pairs

Hanlin Cai, Anne Fayolle, Linquan Ma +4

We extend perfectoid purity and related invariants to divisor pairs in mixed characteristic. The resulting purity condition agrees with -purity of pairs in characteristic as…

math.AC2026

Counterexamples to Peskine-Szpiro's conjecture on modules of finite projective dimension

Linquan Ma

We give counterexamples to the remaining homological conjectures of Peskine-Szpiro concerning modules of finite projective dimension over Noetherian local rings. Specifically, we s…

math.AC2026

Local cohomological dimension and depth in mixed characteristic

Linquan Ma

Let be an unramified regular local ring of mixed characteristic and dimension and let be an ideal. We prove that imp…

math.AC2026

Herzog ideals and -singularities

Alessandro De Stefani, Linquan Ma, Matteo Varbaro

In this paper we study the connection between Herzog ideals (i.e., ideals with a squarefree Gröbner degeneration) and -singularities. More precisely, we show that, in positive c…