4 papers
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…
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…
Rational powers, invariant ideals, and the summation formula
Sankhaneel Bisui, Sudipta Das, TÃ i Huy HÃ +1
We provide explicit descriptions for the rational powers and Rees valuations of several classes of ideals invariant under natural actions of tori and products of general linear gro…
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…