Mixed Hodge Complexes on Algebraic Varieties

  title={Mixed Hodge Complexes on Algebraic Varieties},
  author={Morihiko Saito},
The notion of cohomological mixed Hodge complex was introduced by Deligne [4] as a tool to construct the mixed Hodge structure on the cohomology of complex algebraic varieties. This is defined by using logarithmic forms and simplicial resolutions of varieties. It is called cohomological, because its conditions are imposed only after taking the global section functor. Forgetting the rational (or integral) structure and also the weight filtration, a refinement of this notion was obtained by Du… CONTINUE READING
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