Computing curves on real rational surfaces
Niels Lubbes
TL;DR
This paper introduces an algorithm to compute specific curves and their families on real rational surfaces, focusing on prescribed degree and genus, advancing computational algebraic geometry.
Contribution
The paper presents a novel algorithm for computing curves of given degree and genus on real rational surfaces, filling a gap in computational algebraic geometry.
Findings
Algorithm successfully computes curves with specified properties
Efficient handling of real rational surfaces demonstrated
Potential applications in geometric modeling and algebraic geometry
Abstract
We present an algorithm for computing curves and families of curves of prescribed degree and geometric genus on real rational surfaces.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Numerical Analysis Techniques · Commutative Algebra and Its Applications