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Nodal Enriques Surfaces

In: Enriques Surfaces II

Author

Listed:
  • Igor Dolgachev

    (University of Michigan, Department of Mathematics)

  • Shigeyuki Kondō

    (Nagoya University, Graduate School of Mathematics)

Abstract

A general Enriques surface does not contain smooth rational curves. In this chapter we will present some basic facts about Enriques surfaces that contain such curves. They are called nodal Enriques surfaces. In Volume I, it was shown that, over the complex numbers, the isomorphism classes of nodal Enriques surfaces form a codimension one subvariety of the moduli space of Enriques surfaces.

Suggested Citation

  • Igor Dolgachev & Shigeyuki Kondō, 2025. "Nodal Enriques Surfaces," Springer Books, in: Enriques Surfaces II, chapter 0, pages 1-65, Springer.
  • Handle: RePEc:spr:sprchp:978-981-96-1513-1_1
    DOI: 10.1007/978-981-96-1513-1_1
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