Lower Bounds in Real Algebraic Geometry and Orientability of Real Toric Varieties Academic Article

abstract

• The real solutions to a system of sparse polynomial equations may be realized as a fiber of a projection map from a toric variety. When the toric variety is orientable, the degree of this map is a lower bound for the number of real solutions to the system of equations. We strengthen previous work by characterizing when the toric variety is orientable. This is based on work of Nakayama and Nishimura, who characterized the orientability of smooth real toric varieties. 2013 Springer Science+Business Media New York.

authors

• Sottile, Frank

published proceedings

• Discrete & Computational Geometry

author list (cited authors)

• Soprunova, E., & Sottile, F.

citation count

• 0

complete list of authors

• Soprunova, Evgenia||Sottile, Frank

publication date

• September 2013

publisher

• Springer Nature  Publisher

published in

• Discrete and Computational Geometry: an international journal of mathematics and computer science  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/s00454-013-9498-9

start page

• 509

end page

• 519

volume

• 50

issue

• 2

URL

• http://dx.doi.org/10.1007/s00454-013-9498-9