Enriques Surfaces: Generalities

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 1 in Enriques Surfaces I, 2025, pp 199-252 from Springer

Abstract: 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.

Date: 2025
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DOI: 10.1007/978-981-96-1214-7_1

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