rational plane
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scholarly journals Freeness and invariants of rational plane curves

2019 ◽  
Vol 89 (323) ◽  
pp. 1525-1546
Author(s):  
Laurent Busé ◽  
Alexandru Dimca ◽  
Gabriel Sticlaru
Keyword(s):  
Plane Curves ◽  
Rational Plane

scholarly journals A new method to compute the singularities of offsets to rational plane curves

2015 ◽  
Vol 290 ◽  
pp. 385-402 ◽  
Author(s):  
Juan Gerardo Alcázar ◽  
Jorge Caravantes ◽  
Gema M. Diaz-Toca
Keyword(s):  
New Method ◽  
Plane Curves ◽  
Rational Plane

Iterative computation of the convex hull of a rational plane curve

2015 ◽  
Vol 49 (2) ◽  
pp. 52-52
Author(s):  
Juan G. Alcázar ◽  
Carlos Hermoso ◽  
Jorge Caravantes ◽  
Gema M. Díaz-Toca
Keyword(s):  
Convex Hull ◽  
Plane Curve ◽  
Iterative Computation ◽  
Rational Plane ◽  
Rational Plane Curve

Minimal Generators of the Defining Ideal of the Rees Algebra Associated with a Rational Plane Parametrization with μ = 2

2014 ◽  
Vol 66 (6) ◽  
pp. 1225-1249 ◽  
Author(s):  
Teresa Cortadellas Benítez ◽  
Carlos D'Andrea
Keyword(s):  
Projective Plane ◽  
Rational Curve ◽  
Rees Algebra ◽  
Homogeneous Polynomials ◽  
Rational Plane ◽  
Minimal Generators ◽  
The Ideal

AbstractWe exhibit a set of minimal generators of the defining ideal of the Rees Algebra associated with the ideal of three bivariate homogeneous polynomials parametrizing a proper rational curve in projective plane, having a minimal syzygy of degree 2.

scholarly journals Detecting similarity of rational plane curves

2014 ◽  
Vol 269 ◽  
pp. 1-13 ◽  
Author(s):  
Juan Gerardo Alcázar ◽  
Carlos Hermoso ◽  
Georg Muntingh
Keyword(s):  
Plane Curves ◽  
Rational Plane

scholarly journals Detecting symmetries of rational plane and space curves

2014 ◽  
Vol 31 (3-4) ◽  
pp. 199-209 ◽  
Author(s):  
Juan Gerardo Alcázar ◽  
Carlos Hermoso ◽  
Georg Muntingh
Keyword(s):  
Space Curves ◽  
Rational Plane
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