Anisotropic real curves and bordered line arrangements

Johannes Huisman and Michele Lattarulo

Vol. 229 (2007), No. 2, 365–379

DOI: 10.2140/pjm.2007.229.365

Abstract

A real curve X of genus g ≥ 2 is anisotropic if the image of the canonical morphism k : X → ℙ^g−1 is a rational real curve having no real points. We describe the moduli space of anisotropic curves, proving that it is isomorphic to the moduli space of double coverings of ℙ² ramified along real line arrangements.

Keywords

anisotropic real curve, bordered line arrangement, moduli space

Mathematical Subject Classification 2000

Primary: 14H15, 30F50, 52C30

Milestones

Received: 27 May 2005

Revised: 21 January 2006

Published: 1 February 2007