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- W2945558503 abstract "In this paper, we compute an explicit matrix factorization of a rank 9 Ulrich sheaf on a general cubic hypersurface of dimension at most 7, whose existence was proved by Manivel. Instead of using invariant theory, we use Shamash's construction with a cone over the spinor variety. We also describe an algebro-geometric interpretation of our matrix factorization which connects the spinor tenfold and the Cartan cubic." @default.
- W2945558503 created "2019-05-29" @default.
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- W2945558503 date "2019-05-23" @default.
- W2945558503 modified "2023-09-23" @default.
- W2945558503 title "An explicit matrix factorization of cubic hypersurfaces of small dimension" @default.
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- W2945558503 doi "https://doi.org/10.48550/arxiv.1905.09626" @default.
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