Characterization theorems for the projective space and vector bundle adjunction

Details Characterization theorems for the projective space and vector bundle adjunction Characterization theorems for the projective space and vector bundle adjunction

2003-01-08

arxiv.org/abs/math/0301065v1

Mathematics

Algebraic Geometry

8 pages. to appear on Manuscripta Mathematica

Scientific paper

We consider some conditions under which a smooth projective variety X is
actually the projective space. We also extend to the case of positive
characteristic some results in the theory of vector bundle adjunction. We use
methods and techniques of the so called Mori theory, in particular the study of
rational curves on projective manifolds.

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