On Weierstrass points and optimal curves
Rainer Fuhrmann, Fernando Torres
TL;DR
This paper employs Weierstrass Point Theory and Frobenius orders to establish the uniqueness of certain optimal algebraic curves, contributing to the classification of these mathematical objects.
Contribution
It introduces a novel application of Weierstrass Point Theory and Frobenius orders to prove the uniqueness of specific optimal curves.
Findings
Proves the uniqueness of some optimal curves up to isomorphism
Utilizes Weierstrass Point Theory in a new context
Provides a classification result for optimal curves
Abstract
We use Weierstrass Point Theory and Frobenius orders to prove the uniqueness (up to isomorphism) of some optimal curves.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows