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For a diagonalizable group scheme \(D(M)_S\) acting on a scheme X, we introduce for any submonoid N of M an attractor space \(X^N\) . We then investigate and study various aspects of attractors associated to monoids. For complementary results, proofs and more general statements, we refer to Mayeux (Algebraic Magnetism, 2023).

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Magnets and Attractors of Diagonalizable Group Schemes Actions

  • 会议论文

  • 发表日期：

    2025年

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  • Arnaud Mayeux

摘要

For a diagonalizable group scheme \(D(M)_S\) acting on a scheme X, we introduce for any submonoid N of M an attractor space \(X^N\) . We then investigate and study various aspects of attractors associated to monoids. For complementary results, proofs and more general statements, we refer to Mayeux (Algebraic Magnetism, 2023).