most citedModular representations on some Riemann-Roch spaces of modular curves X(N)

5 citations · 5 across the 2 of their papers we have counts for

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math.AG2005★ 5 cited

Modular representations on some Riemann-Roch spaces of modular curves X(N)

David Joyner, Amy Ksir

We compute the PSL(2,N)-module structure of the Riemann-Roch space L(D), where D is an invariant non-special divisor on the modular curve X(N), with N > 5 prime. This depends on a…

math.AG2005

Automorphism groups of some AG codes

David Joyner, Amy Ksir

We show that in many cases, the automorphism group of a curve and the permutation automorphism group of a corresponding AG code are the same. This generalizes a result of Wesemeyer…

math.AG2003★ 1 cited

Representations of finite groups on Riemann-Roch spaces, II

David Joyner, Amy Ksir

If G is a finite subgroup of the automorphism group of a projective curve X and D is a divisor on X stabilized by G, then under the assumption that D is nonspecial, we compute a si…