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A Little Algebraic Surface Theory

Chapter
Part of the Universitext book series (UTX)

Abstract

Let us return to geometry armed with what we have learned so far. We have already looked at Riemann surfaces (which will be referred to as complex curves from now on) in some detail. So we consider the next step up. A nonsingular complex surface is a two-dimensional complex manifold. By an algebraic surface, we will mean a two-dimensional nonsingular projective variety. So in particular, they are Kähler manifolds. In this chapter, we will present a somewhat breezy account of surface theory, concentrating on topics that illustrate the general theorems from the previous chapters.

Keywords

Algebraic Surface Elliptic Surface Hodge Number Canonical Divisor Smooth Projective Curve 
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, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsPurdue UniversityWest LafayetteUSA

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