Very special divisors on 4-gonal real algebraic curves

Jean-Philippe Monnier (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

Given a real curve, we study special linear systems called ''very special'' for which the dimension does not satisfy a Clifford type inequality. We classify all these very special linear systems when the gonality of the curve is small.

Mots clés: Linear systems; real algebraic curves; Clifford inequality; gonality

Domaines: Géométrie algébrique [math.AG]

Jean-Philippe Monnier. Very special divisors on 4-gonal real algebraic curves. 2013. ⟨hal-00808504⟩