Very special divisors on real algebraic curves
Jean-Philippe Monnier (LAREMA)
TL;DR
This paper investigates very special linear systems on real algebraic curves, classifying those compounded of an involution and providing examples of simple cases, expanding understanding of their geometric properties.
Contribution
It classifies all very special linear systems compounded of an involution on real algebraic curves and presents examples of simple cases.
Findings
Classification of very special linear systems compounded of an involution
Examples of simple very special linear systems
Extension of Clifford inequality understanding for real algebraic curves
Abstract
We study special linear systems called "very special" whose dimension does not satisfy a Clifford type inequality given by Huisman. We classify all these very special linear systems when they are compounded of an involution. Examples of very special linear systems that are simple are also given.
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