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math.AG2021★ 7 cited
Tate resolutions on toric varieties
Michael K. Brown, Daniel Erman
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 trans…
math.AC2021
Minimal free resolutions of differential modules
Michael K. Brown, Daniel Erman
We propose a notion of minimal free resolutions for differential modules, and we prove existence and uniqueness results for such resolutions. We also take the first steps toward st…