Doran2020_Article_CalabiYauThreefoldsFibredByHig.pdf (493.65 kB)
Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces
journal contribution
posted on 2019-03-12, 15:26 authored by Charles F. Doran, Andrew Harder, A.Y. Novoseltsev, Alan ThompsonAlan ThompsonWe 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
Mathematische ZeitschriftVolume
294Pages
783–815Citation
DORAN, C.F. ... et al, 2019. Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces. Mathematische Zeitschrift, doi:10.1007/s00209-019-02279-9.Publisher
Springer © The AuthorsVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/Acceptance date
2019-02-27Publication date
2019-04-03Copyright date
2020Notes
This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/ISSN
0025-5874eISSN
1432-1823Publisher version
Language
- en