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adelic loop groups 1factorization theorems 1holomorphic vector bundles 1perfectoid geometry 1solenoidal geometry 1

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math.FA2026

Adelic Loop Groups and Perfectoid Analogies: Factorization and Holomorphic Bundles on the Adelic Projective Line

Alberto Verjovsky

The paper builds a theory of adelic loop groups on a universal solenoid, introduces an adelic projective line with holomorphic vector bundles, and proves factorization and splittin…