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http://hdl.handle.net/2445/193327| Title: | Parametrization of abelian K-surfaces with quaternionic multiplication |
| Author: | Guitart Morales, Xavier Molina Blanco, Santiago |
| Keywords: | Geometria algebraica aritmètica Varietats abelianes Arithmetical algebraic geometry Abelian varieties |
| Issue Date: | Dec-2009 |
| Publisher: | Elsevier Masson |
| Abstract: | We prove that the Abelian $K$-surfaces whose endomorphism algebra is a rational quaternion algebra are parametrized, up to isogeny, by the $K$-rational points of the quotient of certain Shimura curves by the group of their Atkin-Lehner involutions. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1016/j.crma.2009.09.025 |
| It is part of: | Comptes Rendus Mathématique , 2009, vol. 347, num. 23-24, p. 1325-1330 |
| URI: | http://hdl.handle.net/2445/193327 |
| Related resource: | https://doi.org/10.1016/j.crma.2009.09.025 |
| ISSN: | 1631-073X |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 650039.pdf | 146.65 kB | Adobe PDF | View/Open |
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