Calabi-Yau Threefolds Fibred by Kummer Surfaces Associated to Products of Elliptic Curves
| Autor: | Doran, Charles F., Harder, Andrew, Novoseltsev, Andrey Y., Thompson, Alan |
|---|---|
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | String-Math 2014, Proc. Symp. Pure Math., vol. 93, American Mathematical Society, 2016, pp. 263-287 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/pspum/093 |
| Popis: | We 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. Comment: v2: Minor corrections, references updated. Final version, accepted for publication in String-Math 2014, forthcoming volume in the Proceedings of Symposia in Pure Mathematics series |
| Databáze: | arXiv |
| Externí odkaz: |
|