Geometry and Arithmetic of certain Double Octic Calabi-Yau Manifolds
Cynk, S. · Meyer, C.
Original · EN
We study Calabi-Yau manifolds constructed as double covers of P³ branched along an octic surface. We give a list of 85 examples corresponding to arrangements of eight planes defined over Q. The Hodge numbers are computed for all examples. There are 7 rigid Calabi-Yau manifolds and 14 families with h¹,²=1. The modularity conjecture is verified for all the rigid examples.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.