Polar Homology
Boris Khesin, Alexei Rosly
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.
Create a lesson
Related papers
Morphism spaces on low degree hypersurfaces
Hrishabh Mishra
Connecting families of curves
Nathan Chen, Robert Lazarsfeld, Federico Moretti
The Last Picard Rank 1 Double-Mirror Calabi-Yau Pair?
Michał Kapustka, Marco Rampazzo, Prajwal Samal
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II
Connor Stewart
The Hurwitz existence problem in prime degree
Jijian Song, Hailin Wen, Zebao Zhang
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
Andrew Obus, Padmavathi Srinivasan, Connor Stewart