17 citations · 53 across the 26 of their papers we have counts for
7 papers · 1 filter
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…
Improving Locality Sensitive Hashing by Efficiently Finding Projected Nearest Neighbors
Omid Jafari, Parth Nagarkar, Jonathan Montaño
Similarity search in high-dimensional spaces is an important task for many multimedia applications. Due to the notorious curse of dimensionality, approximate nearest neighbor techn…
When are multidegrees positive?
Federico Castillo, Yairon Cid-Ruiz, Binglin Li +2
Let be an arbitrary field, be a multiprojective space over , and be a closed subscheme of . We provide…
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…