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Finiteness of stable Lagrangian fibrations

  • Memorial Volume for Sasha Anan’in
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Abstract

In this paper we survey some finiteness results of the deformation classes of hyperkähler Lagrangian fibrations, and we prove finiteness for stable Lagrangian fibrations with a given discriminant divisor.

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Acknowledgements

The author is grateful to Prof. Tian for their past conversations about generalizations of Schwartz’s lemma, and about Jost-Yau’s rigidity results. She also thanks Sam Grushevsky for their conversations about moduli spaces of Abelian varieties, Ariyan Javanpeykar for his sugestions and improvements, and special thanks to the referee for their comments and suggestions.

Funding

This work was partially supported by a Grant from the Simons Foundation/SFARI (522730, LK) 2017–2024.

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Authors and Affiliations

  1. Department of Mathematics, 3-115, Stony Brook University, Stony Brook, NY, 11794-3651, USA

    Ljudmila Kamenova

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  1. Ljudmila Kamenova
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Correspondence to Ljudmila Kamenova.

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On behalf of all authors, the corresponding author states that there is no conflict of interest.

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Communicated by Mikhail Belolipetsky.

In memory of my dear friend Sasha Anan’in.

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Kamenova, L. Finiteness of stable Lagrangian fibrations. São Paulo J. Math. Sci. (2023). https://doi.org/10.1007/s40863-023-00395-3

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