Artículo
Formal groups, supersingular abelian varieties and tame ramification
Autor/es | Arias de Reyna Domínguez, Sara |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2011-05-15 |
Fecha de depósito | 2016-10-13 |
Publicado en |
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Resumen | Let us consider an abelian variety defined over Qℓ with good supersingular
reduction. In this paper we give explicit conditions that ensure that the action of the wild inertia group on the ℓ-torsion points of the variety ... Let us consider an abelian variety defined over Qℓ with good supersingular reduction. In this paper we give explicit conditions that ensure that the action of the wild inertia group on the ℓ-torsion points of the variety is trivial. Furthermore we give a family of curves of genus 2 such that their Jacobian surfaces have good supersingular reduction and satisfy these conditions. We address this question by means of a detailed study of the formal group law attached to abelian varieties. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | AP-20040601
MTM2006-04895 |
Cita | Arias de Reyna Domínguez, S. (2011). Formal groups, supersingular abelian varieties and tame ramification. Journal of Algebra, 334 (1), 84-100. |
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