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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/37152

Title: Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces
Authors: Doran, Charles F.
Harder, Andrew
Novoseltsev, A.Y.
Thompson, Alan
Issue Date: 2019
Publisher: Springer (part of Springer Nature)
Citation: DORAN, C.F. ... et al, 2019. Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces. Mathematische Zeitschrift, [in press].
Abstract: We study threefolds fibred by K3 surfaces admitting a lattice polarization by a certain class of rank 19 lattices. We begin by showing that any family of such K3 surfaces is completely determined by a map from the base of the family to the appropriate K3 moduli space, which we call the generalized functional invariant. Then we show that if the threefold total space is a smooth Calabi-Yau, there are only finitely many possibilities for the polarizing lattice and the form of the generalized functional invariant. Finally, we construct explicit examples of Calabi-Yau threefolds realizing each case and compute their Hodge numbers.
Description: This paper is closed access until 12 months after the date of publication.
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/37152
Publisher Link: https://link.springer.com/journal/209
ISSN: 0025-5874
Appears in Collections:Closed Access (Maths)

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