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Bogomolov’s Inequality and Applications

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

Abstract

Our main goal in this chapter will be to give a proof of the following: Theorem 1 (Bogomolov). Let X be an algebraic surface and let H be an ample divisor on X. Suppose that V is an H-stable rank 2 vector bundle on X. Then c 1 2 (V) ≤ 4c2(V). Equivalently, p1(ad V) ≤ 0.

Keywords

Exact Sequence Vector Bundle Line Bundle Galois Group Coherent Sheaf 
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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