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.

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Nodal Enriques Surfaces

  • Igor Dolgachev,
  • Shigeyuki Kondō

摘要

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.