Grothendieck–Lefschetz for ample subvarieties
نویسندگان
چکیده
We establish a Grothendieck–Lefschetz theorem for smooth ample subvarieties of projective varieties over an algebraically closed field characteristic zero and, more generally, whose complement has small cohomological dimension. A weaker statement is also proved in general context and all characteristics. Several applications are included.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2021
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-020-02693-4