Computation of the topological type of a real Riemann surface
type: Dataset
description: We present an algorithm for the computation of the topological type of a real compact Riemann surface associated to an algebraic curve, i.e., its genus and the properties of the set of fixed points of the anti-holomorphic involution, namely, the number of its connected components, and whether this set divides the surface into one or two connected components. This is achieved by transforming an arbitrary canonical homology basis to a homology basis where the A-cycles are invariant under the antiholomorphic involution.
issued: 2026-05-21T03:46:44.359542
language: en
modified: 2026-05-21T03:46:44.359550
contact point: Organization
  fn: CCSD
keyword: holomorphic-differentials
keyword: homology-basis
keyword: infoeu-reposemanticspreprint
keyword: mathmath-agmathematics-mathalgebraic-geometry-mathag
keyword: preprints-working-papers-
keyword: real-algebraic-curve
keyword: real-ovals
keyword: real-riemann-surface
landing page: https://hal.science/hal-00690188

Computation of the topological type of a real Riemann surface
type: Distribution
format: HTML
issued: 2026-05-21T03:46:44.429791
modified: 2026-05-21T03:46:44.313202
access URL: https://hal.science/hal-00690188

test_moissonnage_selune
type: Agent