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arxiv: 0801.0522 · v2 · submitted 2008-01-03 · 🧮 math.CV

A remark on amoebas in higher codimensions

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keywords amoebassetsalgebraicalmostchainsclosedcodimensionsconsequence
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It is shown that tube sets over amoebas of algebraic varieties (and, more generally, of almost periodic holomorphic chains) of dimension q 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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