Mixed Hodge Structures on the rational homotopy type of intersection spaces

2016/04/19 by Klimczak, Mathieu
#32S35 #55N33 #55P62 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.05606

Abstract

Let X 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 \ I^pX \ with compatible mixed Hodge structures.

Related

• Mixed Hodge structures on the intersection homotopy type of complex\n varieties with isolated singularities
• Rational homotopy of complex projective varieties with normal isolated\n singularities
• Partial Cohomologically Complete Intersections via Hodge Theory
• A purity theorem for configuration spaces of smooth compact algebraic varieties
• Hodge-theoretic splitting mechanisms for projective maps (in appendix, a letter from P. Deligne)