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

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math.AC2026

Eventual Nonstandard Koszulness Fails for Veronese Subrings of Weighted Polynomial Rings

Juliette Bruce

By a result of Backelin, Veronese subrings of a standard -graded algebra are eventually Koszul. Davis, Erman, and Martinova recently conjectured that the analogous stat…

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…