turkmath.org

After a short introduction of toric geometry and of evaluation codes, I will talk about how multigraded Hilbert functions can be used to compute lengths and dimensions of some evaluation codes obtained from subvarieties of toric varieties. In particular, I will give a formula for these basic parameters in the case where the subvariety is a complete intersection of n semiample hypersurfaces in a toric variety of dimension n. This is a joint work with Ivan Soprunov of Cleveland State University.