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Harmonic bundles on quasi-compact Kaehler manifolds

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arxiv math/0108166 v3 pith:NHOUSVG4 submitted 2001-08-24 math.AG math.DG

Juergen Jost , Jiayu Li , Kang Zuo This is my paper · ORCID
classification math.AGmath.DG
keywords groupkaehlermanifoldsquasi-compactfundamentalhodgetypeaction
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We define the C^*-action on moduli spaces of reductive representations of fundamental groups of quasi-compact Kaehler manifolds by solving Hermitian-Yang-Mills equation. As applications in algebraic geometry we show a non-abelian Hodge (p,q)-type theorem for families of quasi-projective manifolds. We also prove that any discrete sub group of a Lie group of rank >1 that is not of Hodge type can't be the fundamental group of a quasi-compact Kaehler manifold.

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  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...

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