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A Remark on Amoebas in Higher Codimensions

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Analysis and Mathematical Physics

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

Abstract

It is shown that tube sets over amoebas of algebraic varieties of dimension q in ℂ n* (and, more generally, of almost periodic holomorphic chains in ℂn are q-pseudoconcave in the sense of Rothstein. This is a direct consequence of a representation of such sets as supports of positive closed currents.

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Rashkovskii, A. (2009). A Remark on Amoebas in Higher Codimensions. In: Gustafsson, B., Vasil’ev, A. (eds) Analysis and Mathematical Physics. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9906-1_24

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