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Projective Models of Enriques Surfaces

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 study (rational) maps from Enriques surfaces that arise from big and nef divisor classes of small self-intersection and with small Φ. This leads to explicit models and explicit covers of Enriques surfaces.We find birational models of Enriques surfaces as surfaces of small degree in low-dimensional projective spaces. We also find presentations of Enriques surfaces as covers of small degree of explicit rational surfaces. On our way, we also study (rational) maps from K3-covers of Enriques surfaces.

Suggested Citation

  • François Cossec & Igor Dolgachev & Christian Liedtke, 2025. "Projective Models of Enriques Surfaces," Springer Books, in: Enriques Surfaces I, edition 0, chapter 0, pages 299-358, Springer.
    • Handle: RePEc:spr:sprchp:978-981-96-1214-7_3
    DOI: 10.1007/978-981-96-1214-7_3
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