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Lines on \(K3\)–Quartics Via Triangular Sets

  • Alex Degtyarev,
  • Sławomir Rams

摘要

We prove the sharp upper bound of at most 52 lines on a complex \(K3\) K 3 –surface of degree 4 with a non-empty singular locus. We also classify the configurations of more than 48 lines on smooth complex quartics.