Exploració per tema "Modular curves"
Ara es mostren els items 1-7 de 7
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Automorphism group of split Cartan modular curves
(2016-08-01)
Article
Accés obert -
Bielliptic modular curves X-0*(N)
(2020-10-01)
Article
Accés obertLet N = 1 be a integer such that the modular curve X* 0 (N) has genus = 2. We prove that X* 0 (N) is bielliptic exactly for 69 values of N. In particular, we obtain that X* 0 (N) is bielliptic over the base field for all ... -
Equations of bielliptic modular curves
(2012-11)
Article
Accés obertWe give a procedure to determine equations for the modular curves X0(N) which are bielliptic and equations for the 30 values of N such that X0(N) is bielliptic and nonhyperelliptic are presented. -
Genus two curves with quaternionic multiplication and modular jacobian
(2007)
Article
Accés obertWe describe a method to determine all the isomorphism classes of principal polarizations of the modular abelian surfaces $A_f$ with quaternionic multiplication attached to a normalized newform $f$ without complex ... -
Modular symbols
(Universitat Politècnica de Catalunya, 2016-05)
Treball Final de Grau
Accés obertModular forms are holomorphic functions defined on the complex upper half-plane which transform in a certain way under the action of a group of matrices. Alternatively, they can be thought of as differential forms on a ... -
On elliptic Galois representations and genus-zero modular units
(2006-07-03)
Article
Accés obertGiven an odd prime \,$p$\, and a representation $\varrho$\, of the absolute Galois group of a number field $k$ onto $\mathrm{PGL}_2(\mathbb{F}_p)$ with cyclotomic determinant, the moduli space of elliptic curves defined ... -
The automorphism group of the non-split Cartan modular curve of level 11
(2014-11-01)
Article
Accés restringit per política de l'editorialWe derive equations for the modular curve X-ns(11) associated to a non-split Cartan subgroup of GL(2)(F-11). This allows us to compute the automorphism group of the curve and show that it is isomorphic to Klein's four ...
