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Download fileCalabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves
journal contribution
posted on 2018-10-08, 10:41 authored by Charles F. Doran, Andrew Harder, A.Y. Novoseltsev, Alan ThompsonAlan ThompsonWe study threefolds fibred by Kummer surfaces associated to products of elliptic curves, that arise as resolved quotients of threefolds fibred by certain lattice polarized K3 surfaces under a fibrewise Nikulin involution. We present a general construction for such surfaces, before specializing our results to study Calabi-Yau threefolds arising as resolved quotients of threefolds fibred by mirror quartic K3 surfaces. Finally, we give some geometric properties of the Calabi-Yau threefolds that we have constructed, including expressions for Hodge numbers.
Funding
C. F. Doran and A. Y. Novoseltsev were supported by the Natural Sciences and Engineering Resource Council of Canada (NSERC), the Pacific Institute for the Mathematical Sciences (PIMS), and the McCalla Professorship at the University of Alberta. A. Harder was supported by an NSERC Post-Graduate Scholarship. A. Thompson was supported by a Fields-Ontario-PIMS Postdoctoral Fellowship with funding provided by NSERC, the Ontario Ministry of Training, Colleges and Universities, and an Alberta Advanced Education and Technology Grant.
History
School
- Science
Department
- Mathematical Sciences
Published in
Proceedings of Symposia in Pure MathematicsVolume
93Pages
263 - 287Citation
DORAN, C.F. ... et al., 2016. Calabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves. IN: Bouchard, V. ... et al. (eds.) String-Math 2014, June 9–13, University of Alberta, Edmonton, Alberta, Canada. Providence, Rhode Island: American Mathematical Society, pp. 263-287.Publisher
© American Mathematical SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2015-10-16Publication date
2016Notes
First published in Proceedings of Symposia in Pure Mathematics in volume 93, 2016, published by the American Mathematical SocietyISBN
9781470419929;9781470430153ISSN
0082-0717Publisher version
Book series
Proceedings of Symposia in Pure Mathematics;93Language
- en