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The perverse filtration for the Hitchin fibration is locally constant

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 نشر من قبل Mark Andrea de Cataldo
 تاريخ النشر 2018
  مجال البحث
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We prove that the perverse Leray filtration for the Hitchin morphism is locally constant in families, thus providing some evidence towards the validity of the $P=W$ conjecture due to de Cataldo, Hausel and Migliorini in non Abelian Hodge theory.



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