An Introduction to Elliptic Surfaces
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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.
KeywordsLine Bundle Dual Graph Elliptic Surface Weierstrass Model Multiple Fiber
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