Lectures on curves on varieties -- Lisbon, 2009

Details Lectures on curves on varieties -- Lisbon, 2009 Lectures on curves on varieties -- Lisbon, 2009

2009-08-28

arxiv.org/abs/0908.4241v2

Mathematics

Algebraic Geometry

Final version to appear under the title "Holomorphic and pseudo-holomorphic curves on rationally connected varieties"

Scientific paper

These lectures give a short introduction to the study of curves on algebraic
varieties. After an elementary proof of the dimension formula for the space of
curves, we summarize the basic properties of uniruled and of rationally
connected varieties. At the end, some connections with symplectic geometry are
considered.

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