• Corpus ID: 239050453

Characterizing Multigraded Regularity on Products of Projective Spaces

@inproceedings{Bruce2021CharacterizingMR,
  title={Characterizing Multigraded Regularity on Products of Projective Spaces},
  author={Juliette Bruce and Lauren Heller and Mahrud Sayrafi},
  year={2021}
}
We explore the relationship between multigraded Castelnuovo–Mumford regularity, truncations, Betti numbers, and virtual resolutions. We prove that on a product of projective spaces X , the multigraded regularity region of a module M is determined by the minimal graded free resolutions of the truncations M≥d for d ∈ PicX . Further, by relating the minimal graded free resolutions of M and M≥d we provide a new bound on multigraded regularity of M in terms of its Betti numbers. Using this… 
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