On Irreducible Components of Real Exponential Hypersurfaces

C. Riener; Nicolai Vorobjov

DOI:10.1007/S40598-017-0073-Y

Corpus ID: 59372147

On Irreducible Components of Real Exponential Hypersurfaces

@article{Riener2016OnIC,
  title={On Irreducible Components of Real Exponential Hypersurfaces},
  author={C. Riener and Nicolai Vorobjov},
  journal={Arnold Mathematical Journal},
  year={2016},
  volume={3},
  pages={423-443}
}

C. Riener, Nicolai Vorobjov

Published 2016

Mathematics

Arnold Mathematical Journal

Fix any real algebraic extension $$\mathbb K$$K of the field $$\mathbb Q$$Q of rationals. Polynomials with coefficients from $$\mathbb K$$K in n variables and in n exponential functions are called exponential polynomials over$${\mathbb K}$$K. We study zero sets in $${\mathbb R}^n$$Rn of exponential polynomials over $$\mathbb K$$K, which we call exponential-algebraic sets. Complements of all exponential-algebraic sets in $${\mathbb R}^n$$Rn form a Zariski-type topology on $${\mathbb R}^n$$Rn… CONTINUE READING

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