Pith. sign in

REVIEW 1 cited by

Virtual Resolutions for a Product of Projective Spaces

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1703.07631 v2 pith:AVBLO7MG submitted 2017-03-22 math.AC math.AG

Christine Berkesch , Daniel Erman , Gregory G. Smith This is my paper · ORCID
classification math.ACmath.AG
keywords projectivefreeproductresolutionsspacespacesambientbetter
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Syzygies capture intricate geometric properties of a subvariety in projective space. However, when the ambient space is a product of projective spaces or a more general smooth projective toric variety, minimal free resolutions over the Cox ring are too long and contain many geometrically superfluous summands. In this paper, we construct some much shorter free complexes that better encode the geometry.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Line Bundle Resolutions via the Coherent-Constructible Correspondence

    math.AG 2024-11 accept novelty 6.0 of 10

    On smooth projective toric varieties, every coherent sheaf has a minimal line bundle resolution of length at most the dimension, and for toric subvarieties the Betti numbers are compactly supported cohomology groups o...

Pith tools