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Tate resolutions on toric varieties

  • Michael K. Brown

    Auburn University, Auburn, USA

  • Daniel Erman

    University of Wisconsin–Madison, Madison, USA; University of Hawaii at Manoa, Honolulu, USA
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Abstract

We develop an analogue of Eisenbud–Fløystad–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.

Cite this article

Michael K. Brown, Daniel Erman, Tate resolutions on toric varieties. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1474