ArXiv.org · 2009 · 13 citations · 3 references
Natural SciencesMathematicsTopologyAlgebraic GeometryAlgebraic TopologyCohomology TheoryComplex GeometryHomological AlgebraHomology TheoryCohomology Of Algebraic VarietiesComplex Algebraic VarietiesSingular CohomologySingularitiesUpper Bound Computation
We study the first step of the weight filtration on the cohomology of a proper complex algebraic variety, which we call the combinatorial part. We obtain a natural upper bound on its size, which gives rather strong information about the topology of rational singularities.
3
Real homotopy theory of K�hler manifolds
Pierre Deligne, Phillip Griffiths, John Morgan et al. · Inventiones mathematicae · 1975 · 798 citations
A generalization of Kodaira-Ramanujam's vanishing theorem
Yūjirō Kawamata · Mathematische Annalen · 1982 · 390 citations