Lectures on curves on varieties -- Lisbon, 2009

Publication date: 28 August 2009

Abstract: 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.

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Rationally connected varieties (14M22)

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