Pré-Publication, Document De Travail Année : 2024

HÉNON MAPS WITH BIHOLOMORPHIC KATO SURFACES

Résumé

Let F and G be generalized Hénon maps. We show that the Kato surfaces associated to the germs of F and G near infinity are biholomorphic if and only if F and G are conjugate in Aut `C2 ˘. This answers a question raised by Favre in the survey [5].

We also show that two generalized Hénon maps are conjugate near infinity, if and only if they are affinely conjugate.

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Dates et versions

hal-04766551 , version 1 (05-11-2024)
hal-04766551 , version 2 (04-02-2026)

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François Bacher. HÉNON MAPS WITH BIHOLOMORPHIC KATO SURFACES. 2024. ⟨hal-04766551v1⟩
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