Compactifications and purity

来源 :Sino-French Conference on Arithmetic Geometry(中法算术几何会议) | 被引量 : 0次 | 上传用户:tcsr888
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  After a concise introduction to weight structures(à la Bondarko),weillustrate how they can be employed in both Hodge theory and the theory of motives.In particular,in the latter context,the notion of absolute intersection motive of a smooth variety X can be defined,independently of compactifications of X.This(Chow)motive is expected to realize to the corresponding object in Hodge theory.However,to identify the latter,or even its(pure)cohomology objects,seems to be non-trivial.
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