41 citations · 194 across the 19 of their papers we have counts for
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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★ 17 cited
A homology theory for tropical cycles on integral affine manifolds and a perfect pairing
Helge Ruddat
We introduce a cap product pairing for homology and cohomology of tropical cycles on integral affine manifolds with singularities. We show the pairing is perfect over …
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…