3 papers
math.AC2025
Quasipolynomial behavior via constructibility in multigraded algebra
Hailong Dao, Ezra Miller, Jonathan Montaño +2
Piecewise quasipolynomial growth of Presburger counting functions combines with tame persistent homology module theory to conclude piecewise quasipolynomial behavior of constructib…
math.AC2025
Degree functions of graded families of ideals
Steven Dale Cutkosky, Jonathan Montaño
We express multiplicities and degree functions of graded families of -primary ideals in an excellent normal local ring as limits of intersectio…
math.AC2025
Multiplicities and degree functions in local rings via intersection products
Steven Dale Cutkosky, Jonathan Montaño
We prove a theorem on the intersection theory over a Noetherian local ring , which gives a new proof of a classical theorem of Rees about degree functions. To obtain this, we de…