Tate resolutions on toric varieties
Algebraic Geometry
2022-11-02 v3 Commutative Algebra
Abstract
We develop an analogue of Eisenbud-Floystad-Schreyer's Tate resolutions for toric varieties. Our construction, which is given by a noncommutative analogue of a Fourier- Mukai transform, works quite generally and provides a new perspective on the relationship between Tate resolutions and Beilinson's resolution of the diagonal. We also develop a Beilinson-type resolution of the diagonal for toric varieties.
Keywords
Cite
@article{arxiv.2108.03345,
title = {Tate resolutions on toric varieties},
author = {Michael K. Brown and Daniel Erman},
journal= {arXiv preprint arXiv:2108.03345},
year = {2022}
}
Comments
31 pages. To appear in the Journal of the European Mathematical Society (JEMS)