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arXiv · 2108.03345

Tate resolutions on toric varieties

Michael K. Brown·Daniel Erman
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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.

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Michael K. Brown, Daniel Erman. 2021-08-07. Tate resolutions on toric varieties. https://arxiv.org/abs/2108.03345

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