Comptes Rendus
no. 12
Algebraic geometry
Ulrich bundles on blowing ups
[Fibrés de Ulrich sur les éclatements]

Présenté par : Claire Voisin

Yeongrak Kim1, 2
1 Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
2 Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany
Comptes Rendus. Mathématique, Volume 354 (2016) no. 12, pp. 1215-1218.

Nous construisons un fibré de Ulrich sur l'éclatée d'une variété dans un point, dans le cas où la variété d'origine est plongée dans un système linéaire suffisamment positif et admet un fibré de Ulrich. En particulier, nous décrivons la relation entre l'existence des fibrés spéciaux de Ulrich sur une surface éclatée et sur la surface d'origine.

We construct an Ulrich bundle on the blowup at a point where the original variety is embedded by a sufficiently positive linear system and carries an Ulrich bundle. In particular, we describe the relation between special Ulrich bundles on blown-up surfaces and the original surface.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.10.022
Yeongrak Kim 1, 2

1 Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
2 Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany 
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     language = {en},
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Yeongrak Kim. Ulrich bundles on blowing ups. Comptes Rendus. Mathématique, Volume 354 (2016) no. 12, pp. 1215-1218. doi : 10.1016/j.crma.2016.10.022. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.10.022/

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