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3-Mannigfaltigkeiten im \({\mathbb{P}}^ 5\) und ihre zugehörigen stabilen Garben. (German) Zbl 0534.14023

L’auteur démarre une étude systématique des sous-variétés lisses de codimension 2 et de degré petit dans les espaces projectifs, via fibrés et faisceaux réflexifs. L’article se compose de deux parties. Dans la première on classifie les sous-variétés lisses de codimension 2 et de degré \(\leq 6\) dans \({\mathbb{P}}^ 5\) [voir également, P. Ionescu, C. R. Acad. Sci., Paris, Sér. I 293, 685-687 (1981; Zbl 0516.14025)]; dans la deuxième on utilise cette-ci pour construire des classes nouvelles des faisceaux réflexifs stables de dimension homologique 1 sur \({\mathbb{P}}^ 5\).
Reviewer: C.Bănică

MSC:

14J30 \(3\)-folds
14M07 Low codimension problems in algebraic geometry
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)

Citations:

Zbl 0516.14025
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References:

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