Linearizing torsion classes in the Picard group of algebraic curves over finite fields
Copyright policy )Linearizing torsion classes in the Picard group of algebraic curves over finite fields
We address the problem of computing in the group of $\ell^k$-torsion rational points of the jacobian variety of algebraic curves over finite fields, with a view toward computing modular representations.
To appear in Journal of Algebra
Algebra and Number Theory, Inverse Jacobi problem, Mathematics - Number Theory, Picard groups, Jacobians, Modular forms, Modular curves, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], 510, Finite ground fields in algebraic geometry, Explicit computation, explicit computation, FOS: Mathematics, Finite fields, inverse Jacobi problem, Number Theory (math.NT), finite fields, 14H40, 11G20, 11F11, 11Y40, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Algebra and Number Theory, Inverse Jacobi problem, Mathematics - Number Theory, Picard groups, Jacobians, Modular forms, Modular curves, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], 510, Finite ground fields in algebraic geometry, Explicit computation, explicit computation, FOS: Mathematics, Finite fields, inverse Jacobi problem, Number Theory (math.NT), finite fields, 14H40, 11G20, 11F11, 11Y40, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
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