A remark on amoebas in higher codimensions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2008
- DOI:
- 10.48550/arXiv.0801.0522
- arXiv:
- arXiv:0801.0522
- Bibcode:
- 2008arXiv0801.0522R
- Keywords:
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- Mathematics - Complex Variables;
- 32A60 (Primary) 32A07;
- 42A75 (Secondary)
- E-Print:
- Analysis and Mathematical Physics. Trends in Mathematics, 465-471. Birkhauser, 2009.