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- W4300019421 abstract "We study matrix factorizations of locally free coherent sheaves on a scheme. For a scheme that is projective over an affine scheme, we show that homomorphisms in the homotopy category of matrix factorizations may be computed as the hypercohomology of a certain mapping complex. Using this explicit description, we give another proof of Orlov's theorem that there is a fully faithful embedding of the homotopy category of matrix factorizations into the singularity category of the corresponding zero subscheme. We also give a complete description of the image of this functor." @default.
- W4300019421 created "2022-10-03" @default.
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- W4300019421 date "2011-10-13" @default.
- W4300019421 modified "2023-09-27" @default.
- W4300019421 title "Matrix factorizations over projective schemes" @default.
- W4300019421 doi "https://doi.org/10.48550/arxiv.1110.2918" @default.
- W4300019421 hasPublicationYear "2011" @default.
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