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An entire function that violates quasiminimality — arXiv:2610.08071

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.08071
License (as archived): CC0-1.0
Archived: 2026-10-07T12:29:29.828Z
SHA-256 of the archived text: 7fc8345f0f18e3d5d77049cc0a519bf9b7c8086be310a13a56b1cd0c420923d7
Stable URL of this page: https://metraipolis.com/documento/dc_4e003ab1bb3d

How to cite

An entire function that violates quasiminimality — arXiv:2610.08071 — arXiv (en), https://arxiv.org/abs/2610.08071 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_4e003ab1bb3d (Metraipolis archive dc_4e003ab1bb3d, sha256 7fc8345f0f18e3d5d77049cc0a519bf9b7c8086be310a13a56b1cd0c420923d7)

BibTeX

@misc{dc4e003ab1bb3d,
  title = {An entire function that violates quasiminimality — arXiv:2610.08071},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.08071},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_4e003ab1bb3d; sha256 7fc8345f0f18e3d5d77049cc0a519bf9b7c8086be310a13a56b1cd0c420923d7},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.08071. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Zilber's celebrated quasiminimality conjecture states that a subset of $\mathbb C$ defined by polynomials and exponentials is either countable, or has countable complement. Koiran has asked whether the same could be true replacing $\exp$ with any unary entire function. We give a negative answer to Koiran's question, using results from the theory of holomorphic approximation.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.LO, nuovi lavori del giorno).
Categorie arXiv: Logic (math.LO) ; Complex Variables (math.CV).
Pagina del lavoro: https://arxiv.org/abs/2610.08071 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-07T12:02:17.443Z dalla pagina https://arxiv.org/list/math.LO/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).