Abstract
Let S be a regular integral scheme of dimension 1, η be its generic point and K = K(η) be its residue field. A projective morphism f: X → S is said to be a genus 1 fibration if X is regular and irreducible, and the general fibre Xη is a geometrically integral regular algebraic curve of arithmetic genus 1.
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© 1989 Birkhäuser Boston
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Cossec, F.R., Dolgachev, I.V. (1989). Genus One Fibration. In: Enriques Surfaces I. Progress in Mathematics, vol 76. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-3696-2_7
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DOI: https://doi.org/10.1007/978-1-4612-3696-2_7
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-8216-7
Online ISBN: 978-1-4612-3696-2
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