On exceptional Enriques surfaces

Details On exceptional Enriques surfaces On exceptional Enriques surfaces

2004-05-26

arxiv.org/abs/math/0405510v1

Mathematics

Algebraic Geometry

33 pages

Scientific paper

We give a complete description of all classical Enriques surfaces with non-zero global vector fields. In particular we show that there are such surfaces. The obtained result also applies to supersingular Enriques surfaces fulfilling a rather special condition. During this classification we study some properties of genus 1-fibrations special to characteristic as well as make a close study of the genus 1-fibration on the surfaces that we classify.

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