Real Algebraic and Analytic Geometry Preprint Server

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Submission: 2009, September 10.

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.

Mathematics Subject Classification (2000): 14C20, 14H51, 14P25, 14P99.

Keywords and Phrases: Special linear systems, real algebraic curves.

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