Article ISI
JOURNAL OF ALGEBRA AND ITS APPLICATIONS  (2019)

The 2-adic valuation of the cardinality of Jacobians of genus 2 curves over quadratic towers of finite fields

Garra, R; Miret, JM; Pujolas, J; Theriault, N

Keywords: finite fields, Cardinality, Jacobians of genus 2 curves, 2-adic valuation

Abstract

Given a genus 2 curve C defined over a finite field F-q of odd characteristic such that 2 vertical bar#Jac(C)(F-q), we study the growth of the 2-adic valuation of the cardinality of the Jacobian over a tower of quadratic extensions of F-q. In the cases of simpler regularity, we determine the exponents of the 2-Sylow subgroup of Jac(C)(F-q2k).

Más información

Título según WOS: The 2-adic valuation of the cardinality of Jacobians of genus 2 curves over quadratic towers of finite fields
Título de la Revista: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Volumen: 18
Número: 7
Editorial: World Scientific
Fecha de publicación: 2019
Idioma: English
DOI:

10.1142/S0219498819501354
Notas: ISI