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Equidimensionality of complex Lagrangian fibrations

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arxiv math/9911166 v2 pith:AUFNZD7A submitted 1999-11-22 math.AG

Daisuke Matsushita This is my paper · ORCID
classification math.AG
keywords lagrangiancomplexcomponentequidimensionalequidimensionalityespeciallyeveryfibations
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We prove that every irreducible component of a fibre of a complex Lagrangian fibration is Lagrangian subvariety. Especially, complex Lagrangian fibations are equidimensional.

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  1. Hitchin fibrations are Ng\^{o} fibrations

    math.AG 2025-02 conditional novelty 7.0 of 10

    For every split reductive group G, the Hitchin fibration in the canonical and logarithmic cases is an Ngô fibration, so its direct image splits into Ngô strings.

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