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Amoebas of Half-dimensional Varieties

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Part of the book series: Trends in Mathematics ((TM))

Abstract

An n-dimensional algebraic variety in (ℂ×)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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Correspondence to Grigory Mikhalkin .

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Mikhalkin, G. (2017). Amoebas of Half-dimensional Varieties. In: Andersson, M., Boman, J., Kiselman, C., Kurasov, P., Sigurdsson, R. (eds) Analysis Meets Geometry. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-52471-9_21

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