The moduli space of real algebraic curves of genus 2

Francisco-Javier Cirre

Vol. 208 (2003), No. 1, 53–72

DOI: 10.2140/pjm.2003.208.53

Abstract

We give an explicit description of each of the five connected components of the moduli space of real algebraic curves of genus 2. This is done in terms of the coefficients of equations defining such curves. We also find the subsets consisting of curves with prescribed automorphism group.

Milestones

Received: 11 April 2001

Published: 1 January 2003