Mixed Hodge structures on the rational models of intersection spaces

Mathieu Klimczak

Journal of Singularities
volume 17 (2018), 428-482

Received: 20 April 2016. Received in revised form: 14 December 2017.

DOI: 10.5427/jsing.2018.17t

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Abstract:

Let X be a complex projective variety of complex dimension n with only isolated singularities of simply connected links. We show that we can endow the rational cohomology of the family of the \overline{p}-perverse intersection spaces with compatible mixed Hodge structures.


Keywords:

Intersection spaces, rational homotopy, mixed Hodge theory, weight spectral sequence, isolated singularities, formality


Mathematical Subject Classification (2010):

55P62, 32S35, 55N33


Author(s) information:

Mathieu Klimczak
CMI Centre de Mathématiques et d'Informatique
Institut de Mathématiques de Marseille
Université d'Aix-Marseille

email: mathieu.KLIMCZAK@univ-amu.fr