no. 5
Algèbre homologique, Géométrie algébrique
Descent for coherent sheaves along formal/open coverings
Hörmann, Fritz1
1 Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Germany
Comptes Rendus. Mathématique, Tome 358 (2020) no. 5, pp. 577-594.

For a regular Noetherian scheme X with a divisor with strict normal crossings D we prove that coherent sheaves satisfy descent w.r.t. the “covering” consisting of the open parts in the various completions of X along the components of D and their intersections.

Reçu le :
Révisé le :
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Publié le :
DOI : 10.5802/crmath.75
Classification : 14C20, 14B20, 18F20, 13J10
Hörmann, Fritz 1

1 Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Germany 
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Hörmann, Fritz. Descent for coherent sheaves along formal/open coverings. Comptes Rendus. Mathématique, Tome 358 (2020) no. 5, pp. 577-594. doi : 10.5802/crmath.75. http://www.numdam.org/articles/10.5802/crmath.75/

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