Explicit reconstruction of Riemann surface with given boundary in complex projective space

Alexey Agaltsov (1) , Guennadi Khenkine (2)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 IMJ - Institut de Mathématiques de Jussieu

In this paper we propose a numerically realizable method for reconstruction of a complex curve with known boundary and without compact components in complex projective space.

Mots clés: Burgers equation; Cauchy-type formulas; reconstruction algorithm; Riemann surface

Domaines: Variables complexes [math.CV]; Analyse numérique [math.NA]; Physique mathématique [math-ph]

Alexey Agaltsov, Guennadi Khenkine. Explicit reconstruction of Riemann surface with given boundary in complex projective space. Journal of Geometric Analysis, 2015, 25 (4), pp.2450-2473. ⟨10.1007/s12220-014-9522-1⟩. ⟨hal-00912925v3⟩