On tropical cohomology of smooth algebraic varieties
arXiv:2009.04690
Abstract
In this paper, we give an explicit description of tropical cohomology of smooth algebraic varieties over trivially valued fields. We also construct ``monodromy weight'' spectral sequences for tropical cohomology of geometric strictly semi-stable reductions.
arXiv comment60 pages. version 6 largely changed. Proof was simplified. The case of semi-stable reduction was added. Title changed from "On tropical cycle class maps", version 5: largely changed. Title changed from "A tropical analog of the Hodge conjecture for smooth algebraic varieties over trivially valued fields". This paper contains the contents of arXiv: 2009.04677, version2, 3, 4:minor changes,
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