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Decomposition of the de Rham complex

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Abstract

We give a reformulation of Deligne and Illusie's characteristicp proof of the degeneration of the “Hodge-to-de Rham” spectral sequence, which replaces patching in the derived category by an explicit quasi-isomorphism.

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References

  1. Deligne P and Illusie L, Rélevements modulop 2 et décomposition du complexe de de Rham,Invent. Math. 89 (1987) 247–270

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  2. Mehta V B and Srinivas V, Varieties in positive characteristic with trivial tangent bundle,Compos. Math. 64 (1987) 191–212 (Appendix onCanonical Liftings by M V Nori, V Srinivas).

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  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay

    V Srinivas

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  1. V Srinivas
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Srinivas, V. Decomposition of the de Rham complex. Proc. Indian Acad. Sci. (Math. Sci.) 100, 103–106 (1990). https://doi.org/10.1007/BF02880955

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  • DOI: https://doi.org/10.1007/BF02880955

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