English

A remark on amoebas in higher codimensions

Complex Variables 2010-01-14 v2

Abstract

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.

Cite

@article{arxiv.0801.0522,
  title  = {A remark on amoebas in higher codimensions},
  author = {Alexander Rashkovskii},
  journal= {arXiv preprint arXiv:0801.0522},
  year   = {2010}
}
R2 v1 2026-06-21T09:59:17.068Z