%0 Journal Article %T Variation of Neron-Severi ranks of reductions of K3 surfaces %A Edgar Costa %A Yuri Tschinkel %J Mathematics %D 2014 %I arXiv %X We study the behavior of geometric Picard ranks of K3 surfaces over the rationals under reduction modulo primes. We compute these ranks for reductions of smooth quartic surfaces modulo all primes $p<2^{16}$ in several representative examples and investigate the resulting statistics. %U http://arxiv.org/abs/1405.2265v1