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Multidimensional Residues and Tropical Geometry
June 18, 2021 09:30–10:30, Section I, Sochi
 


Phase tropical varieties those are degenerations of complete intersections are topological manifolds

M. Nisse

Xiamen University
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Adobe PDF 583.2 Kb

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M. Nisse


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Abstract: In the first part of this talk we show that a smooth complex projective complete intersection variety of arbitrary codimension can be decomposed into pairs-of-pants, where a $k$-dimensional pair-of-pants is diffeomorphic to the complement of $k+2$ generic hyperplanes in $\mathbb{CP}^k$. This generalizes an earlier theorem of Mikhalkin. Moreover, we prove that a phase tropical variety which is a degeneration of a smooth complete intersection varieties is a topological manifold. This gives a positive answer to Viro's conjecture in the case of complete intersections.

Materials: Mounir Nisse's slides.pdf (583.2 Kb)

Language: English

Website: https://us02web.zoom.us/j/2162766238?pwd=TTBraGwvQ3Z3dWVpK3RCSFNMcWNNZz09

* ID: 216 276 6238, password: residue

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