1997/02/01 by Niels Lauritzen, A. P. Rao · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology #Counterexample #Mathematics #Pure mathematics #Prime (order theory) #Representation theory #Kodaira dimension #Algebra over a field #Homogeneous #Space (punctuation) #Modular form #Discrete mathematics #Combinatorics #Computer science
paper · doi:10.1007/bf02840470
openalex publication_date 1997/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Using methods from the modular representation theory of algebraic groups one can construct [1] a projective homogeneous space forSL 4, in prime characteristic, which violates Kodaira vanishing. In this note we show how elementary algebraic geometry can be used to simplify and generalize this example.