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On the decomposition theorem for intersection de Rham complexes

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 نشر من قبل Mao Sheng
 تاريخ النشر 2019
  مجال البحث
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We establish a positive characteristic analogue of intersection cohomology for polarized variations of Hodge structure. This includes: a) the decomposition theorem for the intersection de Rham complex; b) the $E_1$-degeneration theorem for the intersection de Rham complex of a periodic de Rham bundle: c) the Kodaira vanishing theorem for the intersection cohomology groups of a periodic Higgs bundle.



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