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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 138–145 (Mi tm2591)  
On the Local Picard Group

H. A. Hamm

Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany
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Abstract: In his book SGA 2, A. Grothendieck developed Lefschetz theorems for the Picard group, the aim being to compare the Picard group of a projective variety with the one of a hyperplane section. An intermediate object is the Picard group of the formal completion along the hyperplane section. Here we proceed similarly but in the local complex analytic context. The use of the exponential sequence leads to analytic as well as topological depth conditions.
Received in June 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 131–138
DOI: https://doi.org/10.1134/S0081543809040117
Bibliographic databases:
UDC: 512.732
Language: English
Citation: H. A. Hamm, “On the Local Picard Group”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 138–145; Proc. Steklov Inst. Math., 267 (2009), 131–138
Citation in format AMSBIB
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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