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Non-abelian (p,p) classes

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arxiv math/9903163 v1 pith:QY5GCNIH submitted 1999-03-28 math.AG

L. Katzarkov , T. Pantev This is my paper · ORCID
classification math.AG
keywords non-abelianbehaviorclassesclassicalcomponentscontextgeneralizegriffiths
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abstract

In this paper we generalize to the non-abelian context a classical theorem of Griffiths which studies the behavior of the $(p,q)$-components of a horizontal section in a variation of Hodge structures over a smooth projective variety.

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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. The $\mathcal{D}$-Geometric Hilbert Scheme -- Part I: Involutivity and Stability

    math.AG 2025-07 reject novelty 5.0 of 10

    A moduli-theoretic framework for PDEs via D-Hilbert schemes and Spencer stability is introduced, but the advertised refinement of Donaldson-Uhlenbeck-Yau is a restatement of the classical result.

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