3 papers
math.AC2026
Characterizing Multigraded Regularity and Virtual Resolutions on Products of Projective Spaces
Juliette Bruce, Lauren Cranton Heller, Mahrud Sayrafi
We explore the relationship between multigraded Castelnuovo--Mumford regularity, truncations, Betti numbers, and virtual resolutions on a product of projective spaces . After pr…
math.CO2026
Explorations of Matroid Complexes
Juliette Bruce, Jacob Bucciarelli, Bailee Zacovic
Motivated by Kontsevich's graph complexes, this paper gives a systematic study of matroid complexes. We construct deletion and contraction bicomplexes on the vector space spanned b…
math.AG2025
Seshadri Regions and the Asymptotic Shape of Multigraded Regularity
Juliette Bruce, Lauren Cranton Heller, Mahrud Sayrafi +1
We introduce the Seshadri region of a subvariety, a convex region packaging the classical Seshadri constants with respect to every line bundle simultaneously. We develop the theory…