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arXiv · 0907.3326

Tate Resolutions and Weyman Complexes

David Cox·Evgeny Materov
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Abstract

We construct generalized Weyman complexes for coherent sheaves on projective space and describe explicitly how the differential depend on the differentials in the correpsonding Tate resolution. We apply this to define the Weyman complex of a coherent sheaf on a projective variety and explain how certain Weyman complexes can be regarded as Fourier-Mukai transforms.

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David Cox, Evgeny Materov. 2009-07-20. Tate Resolutions and Weyman Complexes. https://arxiv.org/abs/0907.3326

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