Title
Nearest Points on Toric Varieties.
Abstract
We determine the Euclidean distance degree of a projective toric variety. This extends the formula of Matsui and Takeuchi for the degree of the A-discriminant in terms of Euler obstructions. Our primary goal is the development of reliable algorithmic tools for computing the points on a real toric variety that are closest to a given data point.
Year
DOI
Venue
2016
10.7146/math.scand.a-101478
MATHEMATICA SCANDINAVICA
Field
DocType
Volume
Toric variety,Topology,Euclidean distance,Euler's formula,Mathematics,Projective test
Journal
122
Issue
ISSN
Citations 
2
0025-5521
2
PageRank 
References 
Authors
0.47
5
2
Name
Order
Citations
PageRank
Martin Helmer144.13
Bernd Sturmfels2926136.85