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Mathematics > Algebraic Geometry

Title: Boundedness of elliptic Calabi-Yau threefolds

Authors: Stefano Filipazzi, Christopher D. Hacon, Roberto Svaldi
(Submitted on 2 Dec 2021 (v1), last revised 27 Mar 2024 (this version, v2))
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 2, 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.
Comments: Final version, to appear in J. Eur. Math. Soc. (JEMS)
Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th)
MSC classes: 14E30, 14J27, 14J32 (Primary) 14D06 (Secondary)
Cite as: arXiv:2112.01352 [math.AG]
  (or arXiv:2112.01352v2 [math.AG] for this version)

Submission history

From: Stefano Filipazzi [view email]
[v1] Thu, 2 Dec 2021 15:51:00 GMT (60kb)
[v2] Wed, 27 Mar 2024 14:12:26 GMT (68kb)
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