2 papers
math.CO2026
The virtual Euler characteristic for binary matroids
Madeline Brandt, Juliette Bruce, Daniel Corey
Inspired by Kontsevich's graphic orbifold Euler characteristic we define a virtual Euler characteristic for any finite set of isomorphism classes of matroids of rank . Our main…
math.AC2025
Bounds on Multigraded Regularity
Juliette Bruce, Lauren Cranton Heller, Mahrud Sayrafi
Multigraded Castelnuovo--Mumford regularity of a module over the total coordinate ring of a smooth projective toric variety is a region $\operatorname{reg} M \subset \o…