Strong Rational Connectedness of Surfaces

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We discuss the strong rational connectedness of smooth rationally connected
surfaces. We prove in lots of cases, including the smooth locus of a log del
Pezzo surface, the rational connectedness indeed implies the strong rational
conectedness. This confirms a conjecture due to Hassett and Tschinkel in
\cite{ht08}.

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