JournalsjemsVol. 27, No. 9pp. 3583–3650

Boundedness of elliptic Calabi–Yau threefolds

  • Stefano Filipazzi

    École Polytechnique Fédérale de Lausanne, Switzerland
    ORCID

  • Christopher D. Hacon

    University of Utah, Salt Lake City, USA
    ORCID

  • Roberto Svaldi

    Università degli Studi di Milano, Italy
    ORCID
Boundedness of elliptic Calabi–Yau threefolds cover
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Abstract

We show that elliptic Calabi–Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension , upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family.

Cite this article

Stefano Filipazzi, Christopher D. Hacon, Roberto Svaldi, Boundedness of elliptic Calabi–Yau threefolds. J. Eur. Math. Soc. 27 (2025), no. 9, pp. 3583–3650

DOI 10.4171/JEMS/1467