Randomized trial demonstrates stability of Frobenius pullback in principal G-bundles, highlighting its significance in geometry.
Let G be a connected reductive group over K with charK=p>0. In this paper, we prove via deformation-theoretic techniques that the Frobenius pullback of a general stable G-bundle on a curve X remains stable in the moduli stack of G-bundles with fixed topological type. We then present some applications of the main theorem.
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Su et al. (2026) studied this question.
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