Two-dimensional Riemann problem for rigid representations on an elliptic curve
We consider a generalization of Riemann–Hilbert problem on elliptic curves. For a given elliptic curve and irreducible representation of free group with two generators we construct explicitly a semistable vector bundle of degree zero obeying a logarithmic connection such that its monodromy over fund...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/370855 |
| Acceso en línea: | https://hdl.handle.net/2117/370855 https://dx.doi.org/10.1016/j.geomphys.2016.12.003 |
| Access Level: | acceso abierto |
| Palabra clave: | Functions of complex variables Elliptic curve MonodromyRiemann–Hilbert problem Logarithmic connection Funcions de variables complexes Classificació AMS::30 Functions of a complex variable::30E Miscellaneous topics of analysis in the complex domain Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Funcions de variable complexa |
| Sumario: | We consider a generalization of Riemann–Hilbert problem on elliptic curves. For a given elliptic curve and irreducible representation of free group with two generators we construct explicitly a semistable vector bundle of degree zero obeying a logarithmic connection such that its monodromy over fundamental parallelogram is equivalent to given free group representation, monodromy along -cycle is trivial and monodromy along -cycle belong to certain orbit. |
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