Polar Homology

Boris Khesin; Alexei Rosly

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Polar Homology

Boris Khesin·Alexei Rosly

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Abstract

For complex projective manifolds we introduce polar homology groups, which are holomorphic analogues of the homology groups in topology. The polar k-chains are subvarieties of complex dimension k with meromorphic forms on them, while the boundary operator is defined by taking the polar divisor and the Poincare residue on it.

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BibTeX RIS

Boris Khesin, Alexei Rosly. 2000-09-01. Polar Homology. https://arxiv.org/abs/math/0009015

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