Rationally connected varieties on an algebraically closed field (Q2906473)

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scientific article; zbMATH DE number 6077518
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Rationally connected varieties on an algebraically closed field
scientific article; zbMATH DE number 6077518

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    5 September 2012
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    courbes rationelles
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    variétés rationellement connexes
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    Rationally connected varieties on an algebraically closed field (English)
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    These are lecture notes on geometric aspects of rationally connected varieties. Rationally connected varieties are higher dimensional analogs of rational surfaces. Previous introductions to this subject include [Rational curves on algebraic varieties. Berlin: Springer (1995; Zbl 0877.14012)] by \textit{J. Kollár} and [Bolyai Soc. Math. Stud. 12, 13--68 (2003; Zbl 1080.14521)] by \textit{C. Araujo} and \textit{J. Kollár}.NEWLINENEWLINEThis notes could be viewed as an excellent invitation to [\textit{T. Graber, J. Harris} and \textit{J. Starr}, J. Am. Math. Soc. 16, No. 1, 57--67 (2003; Zbl 1092.14063); \textit{C. D. Hacon} and \textit{J. McKernan}, Duke Math. J. 138, No. 1, 119--136 (2007; Zbl 1128.14028)].NEWLINENEWLINEIt is extremely well written. Examples, proofs and remarks are well balanced. This survey is strongly recommended for readers who are interested in learning this subject.NEWLINENEWLINEFor the entire collection see [Zbl 1237.14006].
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