Purity of boundaries of open complex varieties
نویسندگان
چکیده
منابع مشابه
Purity of boundaries of open complex varieties
We study the boundary of an open smooth complex algebraic variety U . We ask when the cohomology of the geometric boundary Z = X \U in a smooth compactification X is pure with respect to the mixed Hodge structure. Knowing the dimension of singularity locus of some singular compactification we give a bound for k above which the cohomology H(Z) is pure. The main ingredient of the proof is purity ...
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ژورنال
عنوان ژورنال: Journal of Singularities
سال: 2012
ISSN: 1949-2006
DOI: 10.5427/jsing.2012.4j