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» A Note on the Complexity of Real Algebraic Hypersurfaces
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GC
2011
Springer
7 years 11 months ago
A Note on the Complexity of Real Algebraic Hypersurfaces
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
Michael Kerber, Michael Sagraloff
DCG
2016
3 years 4 months ago
Polynomial Partitioning on Varieties of Codimension Two and Point-Hypersurface Incidences in Four Dimensions
We present a polynomial partitioning theorem for finite sets of points in the real locus of a complex algebraic variety of codimension at most two. This result generalizes the pol...
Saugata Basu, Martín Sombra
AAECC
2010
Springer
132views Algorithms» more  AAECC 2010»
8 years 8 months ago
On the geometry of polar varieties
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary to prove the correctness of several up to date algorithms with intrinsic complex...
Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey ...
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