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Periodic de Rham bundles over curves

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arxiv 2011.03268 v2 pith:FOCRB3GN submitted 2020-11-06 math.AG

classification math.AG
keywords bundlescurvesperiodicrhamcomplexsmoothconjecturemotivic
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In this article, we introduce the notion of periodic de Rham bundles over smooth complex curves. We prove that motivic de Rham bundles over smooth complex curves are periodic. We conjecture that irreducible periodic de Rham bundles over smooth complex curves are motivic. We show that the conjecture holds for rank one objects and rigid objects.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Algebraicity and integrality of solutions to differential equations

    math.AG 2025-01 conditional novelty 8.0 of 10

    Solutions of algebraic differential equations are conjectured to be algebraic exactly when their Taylor coefficients have almost no primes in their denominators, and the conjecture is proved for Picard-Fuchs equations...

  2. Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases

    math.AG 2025-01 conditional novelty 5.0 of 10

    A parabolic-bases framework is used to construct the parabolic non-abelian Hodge correspondence in positive characteristic on arbitrary-dimensional log varieties, extending Krishnamoorthy-Sheng's curve-level result.

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