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Hyperbolic uniformizations throught computations on ternary quadratic forms
dc.contributor.author | Alsina Aubach, Montserrat |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2013-10-24T18:11:01Z |
dc.date.available | 2013-10-24T18:11:01Z |
dc.date.created | 2013 |
dc.date.issued | 2013 |
dc.identifier.citation | Alsina, M. Hyperbolic uniformizations throught computations on ternary quadratic forms. A: Applications of Computer Algebra. "Proceedings of Applications of Computer Algebra. ACA 2013. Ed.: José Luis Galán, Gabriel Aguilera and Pedro Rodríguez". Málaga: 2013, p. 203-206. |
dc.identifier.isbn | 978-84-616-4565-7 |
dc.identifier.uri | http://hdl.handle.net/2117/20458 |
dc.description.abstract | Orders in indefinite quaternion algebras provide Fuchsian groups acting on the Poincare half-plane, used to construct the associated Shimura curves. We explain how, by using embedding theory, the elements of those Fuchsian groups depend on representations of integers by suitable ternary quadratic forms. Thus the explicit computation of those representations leads to explicit presentations and fundamental domains of those Fuchsian groups, the computation of CM points, and a rich interpretation of the points in the complex upper half-plane. |
dc.format.extent | 4 p. |
dc.language.iso | eng |
dc.rights | Attribution 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Fuchsian groups |
dc.subject.lcsh | Embeddings (Mathematics) |
dc.subject.lcsh | Forms, Quadratic |
dc.subject.lcsh | Quaternions |
dc.subject.other | Fuchsian groups, quaternion algebras, quadratic forms, embeddings |
dc.title | Hyperbolic uniformizations throught computations on ternary quadratic forms |
dc.type | Conference report |
dc.subject.lemac | Fuchsian, Grups de |
dc.subject.lemac | Formes quadràtiques |
dc.subject.lemac | Quaternions |
dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.aca2013.uma.es/Proceedings.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 12795313 |
dc.description.version | Postprint (published version) |
local.citation.author | Alsina, M. |
local.citation.contributor | Applications of Computer Algebra |
local.citation.pubplace | Málaga |
local.citation.publicationName | Proceedings of Applications of Computer Algebra. ACA 2013. Ed.: José Luis Galán, Gabriel Aguilera and Pedro Rodríguez |
local.citation.startingPage | 203 |
local.citation.endingPage | 206 |