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: real algbraic curve; special linear system

Domaines: Mathématiques [math]

Jean-Philippe Monnier. Very special divisors on 4-gonal real algebraic curves. Advances in Geometry, 2015, 15 (2), pp.211-231. ⟨10.1515/advgeom-2015-0005⟩. ⟨hal-01392191⟩