2017/01/05 by Magnus Carlson, Carlson, Magnus
Mathematics · #Algebraic Geometry and Number Theory #Advanced Topics in Algebra #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.1701.01314
We classify plethories over fields of characteristic zero, thus answering a question of Borger-Wieland and Bergman-Hausknecht. All plethories over characteristic zero fields are linear, in the sense that they are free plethories on a bialgebra. For the proof we need some facts from the theory of ring schemes where we extend previously known results. We also classify plethories with trivial Verschiebung over a perfect field of non-zero characteristic and indicate future work.