5 citations · 6 across the 3 of their papers we have counts for
5 papers
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…
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…
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…
Elliptic Fibrations and Elliptic Models
Amy E. Ksir, Stephen G. Naculich
We study the Seiberg-Witten curves for N=2 SUSY gauge theories arising from type IIA string configurations with two orientifold sixplanes. Such theories lift to elliptic models in…
Dimensions of Prym Varieties
Amy E. Ksir
Given a tame Galois branched cover of curves pi: X -> Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variet…