Variation of Néron-Severi ranks of reductions of K3 surfaces

Edgar Costa, Yuri Tschinkel

Research output: Contribution to journalArticle

Abstract

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
Volume23
Issue number4
DOIs
StatePublished - Oct 2 2014

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K3 Surfaces
Modulo
Quartic
Statistics

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Variation of Néron-Severi ranks of reductions of K3 surfaces. / Costa, Edgar; Tschinkel, Yuri.

In: Experimental Mathematics, Vol. 23, No. 4, 02.10.2014, p. 475-481.

Research output: Contribution to journalArticle

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