Variation of Néron-Severi ranks of reductions of K3 surfaces

Edgar Costa, Yuri Tschinkel

Research output: Contribution to journalArticlepeer-review


We study the behavior of geometric Picard ranks of K3 surfaces over Q under reduction modulo primes. We compute these ranks for reductions of smooth quartic surfaces modulo all primes p < 216 in several representative examples and investigate the resulting statistics.

Original languageEnglish (US)
Pages (from-to)475-481
Number of pages7
JournalExperimental Mathematics
Issue number4
StatePublished - Oct 2 2014


  • K3 surfaces
  • Kedlaya's algorithm
  • Variation of Picard ranks
  • Variation of geometric Picard number

ASJC Scopus subject areas

  • General Mathematics


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