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research article
Birational boundedness of low-dimensional elliptic Calabi-Yau varieties with a section
July 21, 2021
We prove that there are finitely many families, up to isomorphism in codimension one, of elliptic Calabi-Yau manifolds Y -> X with a rational section, provided that dim(Y) <= 5 and Y is not of product type. As a consequence, we obtain that there are finitely many possibilities for the Hodge diamond of such manifolds. The result follows from log birational boundedness of Kawamata log terminal pairs (X, Delta) with K-X + Delta numerically trivial and not of product type, in dimension at most four.
Type
research article
Web of Science ID
WOS:000674926500001
Authors
Publication date
2021-07-21
Published in
Volume
157
Issue
8
Start page
1766
End page
1806
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
July 31, 2021
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