Title:
Algebraic matroids and Frobenius flocks
Abstract:
In characteristic zero, any algebraic matroid has a linear representation. In positive characteristic, this no longer holds. As an alternative, we introduce the notion of a Frobenius flock. Each algebraic matroid can be represented by a Frobenius flock. Eventually, we want to use Frobenius flocks to help determine whether or not certain matroids are algebraic over certain fields.