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http://arks.princeton.edu/ark:/88435/pr1gw79| 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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