Very special divisors on 4-gonal real algebraic curves

Jean-Philippe Monnier 1
  • 1 Département de Mathématiques, Université d’Angers, 2, Bd. Lavoisier, 49045 Angers cedex 01, France


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.

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Advances in Geometry is a mathematical journal which publishes original research articles of excellent quality in the area of geometry. Geometry is a field of long-standing tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity, and geometric ideas and the geometric language permeate all of mathematics.