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The Lefschetz property for families of curves

Author(s): Kollar, Janos

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Abstract: By the Lefschetz hyperplane theorem, if X is a smooth quasi projective variety and C a general curve section of X then the fundamental group of C surjects onto the fundamental group of X. Here we consider when this property holds for a general member of an arbitrary family of curves that covers X. The most interesting case is families of rational curves.
Publication Date: 2015
Electronic Publication Date: 2015
Citation: Kollar, Janos. (2015). The Lefschetz property for families of curves. RATIONAL POINTS, RATIONAL CURVES, AND ENTIRE HOLOMORPHIC CURVES ON PROJECTIVE VARIETIES, 654 (143 - 154. doi:10.1090/conm/654/13220
DOI: doi:10.1090/conm/654/13220
ISSN: 0271-4132
Pages: 143 - 154
Type of Material: Journal Article
Journal/Proceeding Title: RATIONAL POINTS, RATIONAL CURVES, AND ENTIRE HOLOMORPHIC CURVES ON PROJECTIVE VARIETIES
Version: Author's manuscript



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