most citedCharacterizing Multigraded Regularity and Virtual Resolutions on Products of Projective Spaces

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math.AC2026★ 5 cited

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.AC2025

Cellular free resolutions for normalizations of toric ideals

Christine Berkesch, Lauren Cranton Heller, Gregory G. Smith +1

For any toric ideal in a polynomial ring , we provide a combinatorial description of a free resolution of the integral closure of the -module . These new complexes a…