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Motivic irrationality proofs

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arxiv 1708.03836 v2 pith:QN7PJAS4 submitted 2017-08-13 math.AG math.NT

Matt Kerr This is my paper · ORCID
classification math.AGmath.NT
keywords canonicalconditionsexhibitfamilyfunctiongeometrichypersurfacesirrational
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We exhibit geometric conditions on a family of toric hypersurfaces under which the value of a canonical normal function at a point of maximal unipotent monodromy is irrational.

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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. Gamma functions, monodromy and Frobenius constants

    math.NT 2019-08 accept novelty 8.0 of 10

    The paper identifies the generating series of Frobenius constants with a gamma function of the adjoint operator and proves that geometric Frobenius constants are periods.

  2. A note on higher Green's functions

    math.AG 2025-09 conditional novelty 6.0 of 10

    The weight-4 Gross-Zagier conjecture is reduced to Beilinson-Hodge and proved cycle-theoretically for 18 (conjecturally 23) genus-zero K3 mirror families.

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