4 papers
Analytic spread of binomial edge ideals
Eduardo Camps-Moreno, Deblina Dey, Souvik Dey +5
We investigate the analytic spread of binomial edge ideals of finite simple graphs. We provide tight bounds for this invariant in general. For special families of graphs (e.g., clo…
Newton Polytopes and Analytic Spread
Benjamin Drabkin, Benjamin Oltsik
Using the Newton polytope and polyhedron, we study analytic spread and ideal reductions of monomial ideals. We determine a bound for analytic spread based on halfspaces and hyperpl…
Symbolic Defect of Monomial Ideals
Benjamin R. Oltsik
Given a monomial ideal , we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of . In many cases we determine the asym…
Eta-quotients of Prime or Semiprime Level and Elliptic Curves
Michael Allen, Nicholas Anderson, Asimina Hamakiotes +2
From the Modularity Theorem proven by Wiles, Taylor, et al, we know that all elliptic curves are modular. It has been shown by Martin and Ono exactly which are represented by eta-q…