Article
Formal groups, supersingular abelian varieties and tame ramification
Author/s | Arias de Reyna Domínguez, Sara |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2011-05-15 |
Deposit Date | 2016-10-13 |
Published in |
|
Abstract | 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | AP-20040601
MTM2006-04895 |
Citation | Arias de Reyna Domínguez, S. (2011). Formal groups, supersingular abelian varieties and tame ramification. Journal of Algebra, 334 (1), 84-100. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Formal groups, supersingular ... | 208.0Kb | [PDF] | View/ | |