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In this chapter, we introduce Enriques surfaces. We briefly recall the Kodaira–Enriques classification of algebraic surfaces and place Enriques surfaces into it. We determine basic invariants of Enriques surfaces and we introduce the K3-cover, which is a little bit more involved in characteristic p = 2. We finally give explicit examples and equations of Enriques surfaces.

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Enriques Surfaces: Generalities

  • 章节

  • 发表日期：

    2025年

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  • François Cossec,
  • Igor Dolgachev,
  • Christian Liedtke

摘要

In this chapter, we introduce Enriques surfaces. We briefly recall the Kodaira–Enriques classification of algebraic surfaces and place Enriques surfaces into it. We determine basic invariants of Enriques surfaces and we introduce the K3-cover, which is a little bit more involved in characteristic p = 2. We finally give explicit examples and equations of Enriques surfaces.