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Grothendieck-Lefschetz Theorem with Base Locus
by
Nollet, Scott
, Brevik, John
in
Complex numbers
/ Domains
/ Hyperspaces
/ Loci
2016
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Grothendieck-Lefschetz Theorem with Base Locus
by
Nollet, Scott
, Brevik, John
in
Complex numbers
/ Domains
/ Hyperspaces
/ Loci
2016
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Paper
Grothendieck-Lefschetz Theorem with Base Locus
2016
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Overview
We compute the divisor class group of the general hypersurface Y of a complex projective normal variety X of dimension at least four containing a fixed base locus Z. We deduce that completions of normal local complete intersection domains of finite type over the complex numbers of dimension \\(\\ge 4\\) are completions of UFDs of finite type over the complex numbers.
Publisher
Cornell University Library, arXiv.org
Subject
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