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An Introduction to Elliptic Surfaces

  • Robert Friedman
Chapter
  • 1.4k Downloads
Part of the Universitext book series (UTX)

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.

Keywords

Line Bundle Dual Graph Elliptic Surface Weierstrass Model Multiple Fiber 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Robert Friedman
    • 1
  1. 1.Department of MathematicsColumbia UniveristyNew YorkUSA

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