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arXiv · 1412.4658

Amoebas of half-dimensional varieties

Grigory Mikhalkin
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Abstract

An $n$-dimensional algebraic variety in $({\mathbb C}^\times)^{2n}$ covers its amoeba as well as its coamoeba generically finite-to-one. We provide an upper bound for the volume of these amoebas as well as for the number of points in the inverse images under the amoeba and coamoeba maps.

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Grigory Mikhalkin. 2014-12-15. Amoebas of half-dimensional varieties. https://arxiv.org/abs/1412.4658

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