Polar Homology
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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