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.
Very special divisors on 4-gonal real algebraic curves
Clifford Theorem for real algebraic curves
Measuring the local non-convexity of real algebraic curves
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