3 papers
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…
math.AC2025
Boolean Rank via Monomial Ideals
Juliann Geraci, Alexander B. Kunin, Alexandra Seceleanu
Boolean matrix factorization (BMF) has many applications in data mining, bioinformatics, and network analysis. The goal of BMF is to decompose a given binary matrix as the Boolean…
math.AC2024
Lefschetz properties through a topological lens
Alexandra Seceleanu
These lecture notes were prepared for the Lefschetz Preparatory School, a graduate summer course held in Krakow, May 6-10, 2024. They present the story of the algebraic Lefschetz p…