Calabi-Yau differential equations
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expositions
- Peruničić, Andrija. “Introduction to Arithmetic Mirror Symmetry.” arXiv:1408.7055 [math], August 29, 2014. http://arxiv.org/abs/1408.7055.
articles
- Andreas Gerhardus, Hans Jockers, Quantum periods of Calabi-Yau fourfolds, arXiv:1604.05325 [hep-th], April 18 2016, http://arxiv.org/abs/1604.05325
- Charles F. Doran, Andreas Malmendier, Calabi-Yau manifolds realizing symplectically rigid monodromy tuples, http://arxiv.org/abs/1503.07500v2
- Zudilin, V. V. 2011. “Arithmetic Hypergeometric Series.” Rossi\uı Skaya Akademiya Nauk. Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk 66 (2(398)): 163–216. doi:10.1070/RM2011v066n02ABEH004742.
- Yang, Yifan, and Wadim Zudilin. 2010. “On \(\rm Sp_4\) Modularity of Picard-Fuchs Differential Equations for Calabi-Yau Threefolds.” In Gems in Experimental Mathematics, 517:381–413. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=2731075.
- Chen, Yao-Han, Yifan Yang, and Noriko Yui. 2008. “Monodromy of Picard-Fuchs Differential Equations for Calabi-Yau Threefolds.” Journal Für Die Reine Und Angewandte Mathematik. [Crelle’s Journal] 616: 167–203. doi:10.1515/CRELLE.2008.021.
- Almkvist, Gert, and Wadim Zudilin. 2006. “Differential Equations, Mirror Maps and Zeta Values.” In Mirror Symmetry. V, 38:481–515. AMS/IP Stud. Adv. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=2282972.
- Stienstra, Jan, and Frits Beukers. 1985. “On the Picard-Fuchs Equation and the Formal Brauer Group of Certain Elliptic \(K3\)-Surfaces.” Mathematische Annalen 271 (2): 269–304. doi:10.1007/BF01455990.
- Beukers, F., and C. A. M. Peters. 1984. “A Family of \(K3\) Surfaces and \(\zeta (3)\).” Journal Für Die Reine Und Angewandte Mathematik 351: 42–54. doi:10.1515/crll.1984.351.42.