On the distribution of the Picard ranks of the reductions of a K3 surface

On the distribution of the Picard ranks of the reductions of a K3 surface

We report on our results concerning the distribution of the geometric Picard ranks of K3 surfaces under reduction modulo various primes. In the situation that rk Pic S [subscript overline K] is even, we introduce a quadratic character, called the jump character, such that rk Pic S [subscript overli...

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Bibliographic Details
Main Authors: Costa, Edgar, Elsenhans, Andreas-Stephan, Jahnel, Jörg, Martins Dias Costa, Edgar Jose
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Science and Business Media LLC 2020
Online Access:https://hdl.handle.net/1721.1/128891

Internet

https://hdl.handle.net/1721.1/128891

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