Projective Models of Enriques Surfaces

François Cossec (), Igor Dolgachev () and Christian Liedtke ()
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François Cossec: Care of Dyah Rusmiasih
Igor Dolgachev: University of Michigan–Ann Arbor, Department of Mathematics
Christian Liedtke: Technische Universität München, Zentrum Mathematik - M11

Chapter Chapter 3 in Enriques Surfaces I, 2025, pp 299-358 from Springer

Abstract: 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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-96-1214-7_3

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DOI: 10.1007/978-981-96-1214-7_3

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