Abstract
The goal of this chapter is to survey the classification of elliptic surfaces. We begin with a preliminary section on general fibrations. Next we give Kodaira’s classification of singular fibers of elliptic fibrations, and describe the canonical bundle and other basic invariants of an elliptic surface. We give a complete discussion of elliptic surfaces with a section and discuss, without proofs, the mechanism for obtaining all elliptic surfaces starting with those which have a section. Finally, we describe some of the basic topological invariants of an elliptic surface.
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© 1998 Springer Science+Business Media New York
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Friedman, R. (1998). An Introduction to Elliptic Surfaces. In: Algebraic Surfaces and Holomorphic Vector Bundles. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1688-9_8
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DOI: https://doi.org/10.1007/978-1-4612-1688-9_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7246-5
Online ISBN: 978-1-4612-1688-9
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