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arxiv: math/0009015 · v1 · pith:3DKCVHT6 · submitted 2000-09-01 · math.AG · hep-th· math.GT

Polar Homology

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classification math.AG hep-thmath.GT
keywords polarhomologycomplexgroupsanaloguesboundarydefineddimension
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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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