Jonathan Montaño

works on

algebraic combinatorics 1 functorial constructions 1 linear operators 1 Lorentzian polynomials 1 matroid theory 1 polymatroids 1

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math.AC2026

Ladder determinantal varieties and their symbolic blowups

Alessandro De Stefani, Jonathan MontaÃ±o, Luis NÃºÃ±ez-Betancourt +2

In this article we show that the symbolic Rees algebra of a mixed ladder determinantal ideal is strongly $F$ -regular. Furthermore, we prove that the symbolic associated graded alge…

math.AC2024

Exterior powers and Tor-persistence

Justin Lyle, Jonathan MontaÃ±o, Keri Sather-Wagstaff

A commutative Noetherian ring $R$ is said to be Tor-persistent if, for any finitely generated $R$ -module $M$ , the vanishing of $Tor_{i}^{R} (M, M)$ for $i ≫ 0$ implies $M…

math.AC2024

Blowup algebras of determinantal ideals in prime characteristic

Alessandro De Stefani, Jonathan MontaÃ±o, Luis NÃºÃ±ez-Betancourt

We study when blowup algebras are $F$ -split or strongly $F$ -regular. Our main focus is on algebras given by symbolic and ordinary powers of ideals of minors of a generic matrix, a…