Elementary construction of some Jenkins-Strebel differentials
Andrei Bogatyrev
TL;DR
This paper presents an explicit multi-parametric method for constructing Jenkins-Strebel differentials on real algebraic curves, linking real holomorphic abelian differentials to JS quadratic differentials under linear restrictions.
Contribution
It introduces a novel explicit construction technique for Jenkins-Strebel differentials on real algebraic curves, expanding the toolkit for their analysis.
Findings
Explicit multi-parametric construction method provided
Connection established between real holomorphic abelian differentials and JS differentials
Construction applicable under certain linear restrictions
Abstract
We give an explicit multi-parametric construction for Jenkins-Strebel differentials on real algebraic curves. Roughly speaking, the square of any real holomorphic abelian differential subjected to certain linear restrictions will be a JS quadratic differential.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems · Advanced Numerical Analysis Techniques