Abstract
We present a method to compute the geometric Picard rank of a surface over . Contrary to a widely held belief, we show that it is possible to verify Picard rank using reduction at a single prime.
Citation
Andreas-Stephan Elsenhans. Jörg Jahnel. "The Picard group of a $K3$ surface and its reduction modulo $p$." Algebra Number Theory 5 (8) 1027 - 1040, 2011. https://doi.org/10.2140/ant.2011.5.1027
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