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In this chapter, we discuss a classical theory of congruences of lines in P3 and examples of nodal Enriques surfaces called Reye congruences. A general nodal Enriques surface, in the sense of moduli, is isomorphic to a Reye congruence. We also present an analog of a Reye congruence in characteristic 2.

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Reye Congruences

  • 章节

  • 发表日期：

    2025年

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  • Igor Dolgachev,
  • Shigeyuki Kondō

摘要

In this chapter, we discuss a classical theory of congruences of lines in P3 and examples of nodal Enriques surfaces called Reye congruences. A general nodal Enriques surface, in the sense of moduli, is isomorphic to a Reye congruence. We also present an analog of a Reye congruence in characteristic 2.