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A polar de Rham theorem |
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| Authors: | Boris Khesin |
| Institution: | a Department of Mathematics, University of Toronto, Toronto, ON, Canada M5S 3G3 b Institute of Theoretical and Experimental Physics, B.Cheremushkinskaya 25, Moscow 117259, Russia c Department of Mathematics, Imperial College, London SW7 2AZ, UK |
| 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 Rham's operator d is replaced by Dolbeault's  . |
| Keywords: | 14C25 14F40 14C30 |
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