3 citations · 3 across the 10 of their papers we have counts for
5 papers · 2 filters
Mixed multiplicities of graded families of ideals
Yairon Cid-Ruiz, Jonathan Montaño
We show the existence (and define) the mixed multiplicities of arbitrary graded families of ideals under mild assumptions. In particular, our methods and results are valid for the…
Convex bodies and graded families of monomial ideals
Yairon Cid-Ruiz, Jonathan Montaño
We show that the mixed volumes of arbitrary convex bodies are equal to mixed multiplicities of graded families of monomial ideals, and to normalized limits of mixed multiplicities…
Exterior powers and Tor-persistence
Justin Lyle, Jonathan Montaño, Keri Sather-Wagstaff
A commutative Noetherian ring is said to be Tor-persistent if, for any finitely generated -module , the vanishing of for implies $M…
Symbolic powers of determinantal ideals in prime characteristic
Jonathan Montaño, Luis Núñez-Betancourt
We study the symbolic powers of determinantal ideals of generic, generic symmetric, and Hankel matrices of variables, and of Pfaffians of generic skew-symmetric matrices, in prime…
Analytic spread and integral closure of integrally decomposable modules
Carles Bivià-Ausina, Jonathan Montaño
We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integr…