On deep Frobenius descent and flat bundles

Details On deep Frobenius descent and flat bundles On deep Frobenius descent and flat bundles

2007-12-11

arxiv.org/abs/0712.1794v2

Mathematics

Algebraic Geometry

Significant changes in the proofs of Lemma 3.1 and Lemma 3.2

Scientific paper

Let R be an integral domain of finite type over Z and let f:X --> Spec R be a smooth projective morphism of relative dimension d >= 1. We investigate, for a vector bundle E on the total space X, under what arithmetical properties of a sequence (p_n, e_n)_{n \in \NN}, consisting of closed points p_n in Spec R and Frobenius descent data E_{p_n} \cong F^{e_n}^*(F) on the closed fibers X_{p_n}, the bundle E_0 on the generic fiber X_0 is semistable.

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