5 citations · 8 across the 6 of their papers we have counts for
6 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…
A Question about Pic(X) as a G-module
Daniel Goldstein, Robert M. Guralnick, David Joyner
Let G be a finite group acting faithfully on an irreducible non-singular projective curve defined over an algebraically closed field F. Does every G-invariant divisor class contain…
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…
On the variety of Borels in relative position
David Joyner, Pablo Lejarraga
Let be a connected semi-simple group defined over and algebraically closed field, a fixed Cartan, a fixed Borel containing , a set of simple reflections associat…
Notes on toric varieties
Helena Verrill, David Joyner
These notes survey some basic results in toric varieties over a field with examples and applications. A computer algebra package (written by the second author) is described which d…