Comptes Rendus
no. 7-8
Algebraic Geometry
Atiyah–Drinfeld–Hitchin–Manin construction of framed instanton sheaves
[Construction de Atiyah–Drinfeld–Hitchin–Manin de faisceaux trivialisés d'instantons]

Présenté par : Christophe Soulé

Marcos Jardim1
1 IMECC-UNICAMP, Caixa Postal 6065, 13083-859 Campinas-SP, Brazil
Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 427-430.

Nous introduisons une généralisation de l'equation de Atiyah–Drinfeld–Hitchin–Manin que nous utilisons ensuite pour construire une classe de faisceaux sur des espaces projectifs que l'on rencontre dans le contexte de la théorie des instantons.

We introduce a generalization of Atiyah–Drinfeld–Hitchin–Manin equation, which is subsequently used to construct a class of sheaves on projective spaces that arise in connection with instanton theory.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.02.014
Marcos Jardim 1

1 IMECC-UNICAMP, Caixa Postal 6065, 13083-859 Campinas-SP, Brazil 
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     title = {Atiyah{\textendash}Drinfeld{\textendash}Hitchin{\textendash}Manin construction of framed instanton sheaves},
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Marcos Jardim. Atiyah–Drinfeld–Hitchin–Manin construction of framed instanton sheaves. Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 427-430. doi : 10.1016/j.crma.2008.02.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.02.014/

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[5] G. Fløystad Monads on projective spaces, Comm. Algebra, Volume 28 (2000), pp. 5503-5516

[6] I.B. Frenkel; M. Jardim Complex ADHM equations and sheaves on P3, J. Algebra, Volume 319 (2008), pp. 2913-2937

[7] M. Jardim Instanton sheaves on complex projective spaces, Collect. Math., Volume 57 (2006), pp. 69-91

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