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 super uous summands. In this paper, we construct some much shorter free complexes that better encode the geometry.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 460-481 |
| Number of pages | 22 |
| Journal | Algebraic Geometry |
| Volume | 7 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2020 |
Bibliographical note
Publisher Copyright:© Foundation Compositio Mathematica 2020.
Keywords
- Deformation theory
- Free resolutions
- Toric varieties
- Vector bundles