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  • Functorial splitting of l-a...
    de Vries, Victor

    Indagationes mathematicae, 5/2024
    Journal Article

    In this document we consider an exact sequence of group varieties e→N→G→Q→e over an algebraically closed field. We show that for l≠char(k) a prime there exists an isomorphism of graded Ql-algebras Hét∗(G,Ql)≅Hét∗(N,Ql)⊗QlHét∗(Q,Ql) that is compatible with pullback homomorphisms φ∗ of endomorphisms φ:G→G that stabilize N.