On tropical cohomology of smooth algebraic varieties
Ryota Mikami
TL;DR
This paper provides an explicit description of tropical cohomology for smooth algebraic varieties over trivially valued fields and introduces spectral sequences related to monodromy weight for their semi-stable reductions.
Contribution
It offers a new explicit characterization of tropical cohomology and constructs spectral sequences connecting monodromy weight to tropical cohomology.
Findings
Explicit description of tropical cohomology for smooth algebraic varieties
Construction of monodromy weight spectral sequences
Insights into semi-stable reductions in tropical geometry
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Commutative Algebra and Its Applications