scholarly journals Hermite interpolation of rational space curves using real algebraic surfaces

1989 ◽  
Author(s):  
C. Bajaj ◽  
I. Ihm
Keyword(s):  
Hermite Interpolation ◽  
Algebraic Surfaces ◽  
Rational Space ◽  
Space Curves ◽  
Real Algebraic Surfaces

scholarly journals Geometrically rational real conic bundles and very transitive actions

2010 ◽  
Vol 147 (1) ◽  
pp. 161-187 ◽  
Author(s):  
Jérémy Blanc ◽  
Frédéric Mangolte
Keyword(s):  
Automorphism Groups ◽  
Algebraic Surfaces ◽  
Algebraic Models ◽  
Transitive Automorphism ◽  
Real Locus ◽  
Real Algebraic Surfaces ◽  
Conic Bundles ◽  
Transitive Actions ◽  
Insight Into

AbstractIn this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups. We give applications to the classification of real algebraic models of compact surfaces: these applications yield new insight into the geometry of the real locus, proving several surprising facts on this geometry. This geometry can be thought of as a half-way point between the biregular and birational geometries.

Rational space curves are not “unit speed”

2007 ◽  
Vol 24 (4) ◽  
pp. 238-240 ◽  
Author(s):  
Rida T. Farouki ◽  
Takis Sakkalis
Keyword(s):  
Rational Space ◽  
Space Curves ◽  
Unit Speed

scholarly journals On the variety of rational space curves

2001 ◽  
Vol 122 (1) ◽  
pp. 359-369
Author(s):  
Z. Ran
Keyword(s):  
Rational Space ◽  
Space Curves

scholarly journals Using a bihomogeneous resultant to find the singularities of rational space curves

2013 ◽  
Vol 53 ◽  
pp. 1-25 ◽  
Author(s):  
Xiaoran Shi ◽  
Xiaohong Jia ◽  
Ron Goldman
Keyword(s):  
Rational Space ◽  
Space Curves
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