Mixed Hodge structures on the rational models of intersection spaces

Mathieu Klimczak (1)

1 I2M - Institut de Mathématiques de Marseille

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 p-perverse intersection spaces {(IX)-X-(p) over bar}(((p) over bar)) with compatible mixed Hodge structures.

Mots clés: Intersection spaces; rational homotopy; mixed Hodge theory; weight spectral sequence; isolated singularities; formality

Domaines: Topologie algébrique [math.AT]; Géométrie algébrique [math.AG]

Mathieu Klimczak. Mixed Hodge structures on the rational models of intersection spaces. Journal of Singularities, 2018, 17, pp.428-482. ⟨10.5427/jsing.2018.17t⟩. ⟨hal-02025311⟩