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Enriques Surfaces: Generalities

In: Enriques Surfaces I

Author

Listed:
  • François Cossec

    (Care of Dyah Rusmiasih)

  • Igor Dolgachev

    (University of Michigan–Ann Arbor, Department of Mathematics)

  • Christian Liedtke

    (Technische Universität München, Zentrum Mathematik - M11)

Abstract

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.

Suggested Citation

  • François Cossec & Igor Dolgachev & Christian Liedtke, 2025. "Enriques Surfaces: Generalities," Springer Books, in: Enriques Surfaces I, edition 0, chapter 0, pages 199-252, Springer.
    • Handle: RePEc:spr:sprchp:978-981-96-1214-7_1
    DOI: 10.1007/978-981-96-1214-7_1
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