Title of article :
A polar de Rham theorem
Author/Authors :
Khesin، نويسنده , , Boris and Rosly، نويسنده , , Alexei and Thomas، نويسنده , , Richard، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
We prove an analogue of the de Rham theorem for polar homology; that the polar homology HPq(X) of a smooth projective variety X is isomorphic to its Hn,n−q Dolbeault cohomology group. This analogue can be regarded as a geometric complexification where arbitrary (sub)manifolds are replaced by complex (sub)manifolds and de Rhamʹs operator d is replaced by Dolbeaultʹs ∂̄.
Keywords :
Meromorphic forms , Dolbeault cohomology , de Rham cohomology , Algebraic cycles , Hodge theory
