Descent for coherent sheaves along formal/open coverings

Fritz Hörmann

doi:10.5802/crmath.75

Algèbre homologique, Géométrie algébrique

Descent for coherent sheaves along formal/open coverings

Fritz Hörmann ¹

¹ Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Germany

Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 577-594.

Résumé

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 : 2018-05-23
Révisé le : 2020-05-14
Accepté le : 2020-05-14
Publié le : 2020-09-14

DOI : 10.5802/crmath.75

Classification : 14C20, 14B20, 18F20, 13J10

Affiliations des auteurs :

Fritz Hörmann ¹

¹ Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Germany

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Fritz H\"ormann},
     title = {Descent for coherent sheaves along formal/open coverings},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {577--594},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {5},
     year = {2020},
     doi = {10.5802/crmath.75},
     language = {en},
}

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Fritz Hörmann. Descent for coherent sheaves along formal/open coverings. Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 577-594. doi : 10.5802/crmath.75. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.75/

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