20 citations · 87 across the 14 of their papers we have counts for
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math.AG2020
Tailoring a pair of pants: the phase tropical version
Ilia Zharkov
We show that the phase tropical pair-of-pants is (ambient) isotopic to the complex pair-of-pants. This paper can serve as an addendum to the author's joint paper with Ruddat arXiv:…
math.AG2020
Compactifying torus fibrations over integral affine manifolds with singularities
Helge Ruddat, Ilia Zharkov
This is an announcement of the following construction: given an integral affine manifold with singularities, we build a topological space which is a torus fibration over $B…
math.AG2020★ 2 cited
Tropical Abelian varieties, Weil classes and the Hodge Conjecture
Ilia Zharkov
We describe in some details an idea of M. Kontsevich how one can try to find a counterexample to the Hodge conjecture using tropical geometry.
math.AG2020
Tailoring a pair of pants
Helge Ruddat, Ilia Zharkov
We show how to deform the map such that the image of the complex pair of pants is…