Pré-Publication, Document De Travail Année : 2025

Withdrawal of: Solution of the Ovals problem

Résumé

In the previous version of the preprint, we made a mistake in our proposed solution to the Ovals problem (formulated in [3, 24]). The erroneous claim is that the operator A_T, used in the proof of Lemma 2.4.1, is selfadjoint. But this fact is wrong, as kindly pointed out to us by Matthias Baur, Rupert L. Frank, Larry Read and Timo Weidl, whom we warmly thank. At the moment, unfortunately, this mistake seems fatal to us, so the Ovals conjecture remains open. Nevertheless, since our work contains arguments that may be useful to address the conjecture, we let it available as a preprint, with a warning on Section 2.4.

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Dates et versions

hal-04974901 , version 1 (03-03-2025)
hal-04974901 , version 2 (15-04-2025)

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  • HAL Id : hal-04974901 , version 2

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Yacine Chitour, Jochen Denzler, Frédéric Jean, Emmanuel Trélat. Withdrawal of: Solution of the Ovals problem. 2025. ⟨hal-04974901v2⟩
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