A strategy and a new operator to generate covariants in small characteristic

2017/01/31 by Florent Ulpat Rovetta, Rovetta, Florent Ulpat
Mathematics · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO

paper · pdf · doi:10.48550/arxiv.1701.09165

arxiv created 2017/01/31 · arxiv updated 2017/02/01

Abstract

We present some new results about covariants in small characteristic. In section 1, we give a method to construct covariants using an approach similar to Sturmfels. We apply our method to find a separating system of covariants for binary quartic in characteristic 3. In the second section, we construct a new operator on covariants when the characteristic is small compared to the degree of the form.

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