Comptes Rendus
Analyse et géométrie complexes
On the GAGA principle for algebraic affine hypersurfaces
Vo Van Tan1 
1 Department of Mathematics, Suffolk University, Boston, Ma. 02114, USA
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 103-110.

For any complete ℂ-algebraic variety Y and its underlying compact ℂ-analytic space 𝒴, it follows from the well known GAGA principle that the algebraic Picard group Pic(Y) and the analytic Picard group ℙic(𝒴) are isomorphic. Our main purpose here is to provide a simple proof of an analogous situation for non complete ℂ-algebraic varieties, namely ℂ-algebraic affine hypersurfaces with at most isolated singularities.

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DOI : 10.5802/crmath.254
Classification : 32E10, 32Q28, 14B07, 14C22, 14J30, 57P10
Vo Van Tan 1

1 Department of Mathematics, Suffolk University, Boston, Ma. 02114, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Vo Van Tan. On the GAGA principle for algebraic affine hypersurfaces. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 103-110. doi : 10.5802/crmath.254. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.254/

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