Faisceaux semi-stables de rang 2 sur P3



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Sols, Ignacio and Meseguer Guaita, José (1984) Faisceaux semi-stables de rang 2 sur P3. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 298 (20). pp. 525-528. ISSN 0764-4442

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The authors consider semistable sheaves (in the sense of Mumford-Takemoto) of rank 2 on P3. By studying sections, they are able to determine all Chern classes c1,c2,c3 for which such sheaves exist. As an application they describe a stratification of the moduli space MP2(−1,c2) of stable rank 2 sheaves on P2 with given Chern classes c1=−1 and c2. This space can be viewed as a compactification of the moduli space of stable rank 2 vector bundles over the projective plane.

Item Type:Article
Subjects:Sciences > Mathematics > Algebra
ID Code:20345
Deposited On:08 Mar 2013 16:54
Last Modified:19 Feb 2019 12:56

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