summer 2018 |
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Dominik Burek, Jagiellonian University 17.04.2024 12:00, B1-37 Title: Higher dimensional Calabi-Yau manifolds of Kummer type
We construct Calabi-Yau manifolds of arbitrary dimensions as a resolution of a quotient of a product of a K3 surface and (n-2) elliptic curves with a strictly non-symplectic automorpism of order 2, 3, 4 or 6. This construction generalizes a result of Cynk and Hulek and the classical construction of Borcea and Voisin, the proof is based on toric resolution of singularities. Using Chen-Ruan orbifold cohomology we compute the Hodge numbers of all constructed examples and give a method to compute the local Zeta functions.
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Last modified: 16.11.2022 |