Intersection of algebraic cycles
Copyright policy )Intersection of algebraic cycles
In this expository paper, the author explains with illustrating examples why intersection homology is needed to recover some properties of intersection of cycles and of Poincaré duality both of which fail when one uses the classical homology theory for singular pseudomanifolds. Thereafter he describes the recent results, obtained by the author, together with G. Barthel, K.-H. Fieseler, O. Gabber, and L. Kaup, which are concerned with the existence of associated morphisms in intersection homology and the lifting of algebraic cycles from homology to intersection homology.
intersection homology, intersection of cycles, Poincaré duality, singular pseudomanifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
intersection homology, intersection of cycles, Poincaré duality, singular pseudomanifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!