What kind of cohomology is meant in Deligne's work about mixed hodge structure on cohomology groups of an complex algebraic variety? I think it refers to the singular cohomology with coefficients in C. But what topology do I have to put on the variety? Thanks for the help.
2026-03-27 06:17:02.1774592222
What kind of cohomology is meant?
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It means the singular cohomology with coefficients in $\mathbb{C}$ in the analytic topology. Are you familiar with ordinary Hodge structures? It means the same thing there.