Ulrich bundles on quartic surfaces with Picard number 1

Emre Coskun

doi:10.1016/j.crma.2013.04.005

Algebraic Geometry

Ulrich bundles on quartic surfaces with Picard number 1
[Fibrés dʼUlrich sur les surfaces quartiques de nombre de Picard 1]

Présenté par : Claire Voisin

Emre Coskun ¹

¹ Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey

Comptes Rendus. Mathématique, Volume 351 (2013) no. 5-6, pp. 221-224.

Résumé
Abstract

Dans cette note, nous démontrons quʼil existe des fibrés dʼUlrich stables de chaque rang pair sur une surface quartique lisse $X \subset P^{3}$ de nombre de Picard 1.

In this note, we prove that there exist stable Ulrich bundles of every even rank on a smooth quartic surface $X \subset P^{3}$ with Picard number 1.

Reçu le : 2013-01-25
Accepté le : 2013-04-02
Publié le : 2013-03-01

DOI : 10.1016/j.crma.2013.04.005

Affiliations des auteurs :

Emre Coskun ¹

¹ Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey

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     author = {Emre Coskun},
     title = {Ulrich bundles on quartic surfaces with {Picard} number 1},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {221--224},
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     volume = {351},
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     year = {2013},
     doi = {10.1016/j.crma.2013.04.005},
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%J Comptes Rendus. Mathématique
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Emre Coskun. Ulrich bundles on quartic surfaces with Picard number 1. Comptes Rendus. Mathématique, Volume 351 (2013) no. 5-6, pp. 221-224. doi : 10.1016/j.crma.2013.04.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.04.005/

Bibliographie
Cité par

[1] M. Casanellas; R. Hartshorne Stable Ulrich bundles, Int. J. Math., Volume 23 (2012) no. 8, p. 1250083 (with an appendix by F. Geiss and F.-O. Schreyer) 50 pp

[2] E. Coskun; R. Kulkarni; Y. Mustopa On representations of Clifford algebras of ternary cubic forms, New Trends in Noncommutative Algebra, Contemp. Math., vol. 562, 2012, pp. 91-99

[3] E. Coskun; R. Kulkarni; Y. Mustopa Pfaffian quartic surfaces and representations of Clifford algebras, Doc. Math., Volume 17 (2012), pp. 1003-1028

[4] E. Coskun; R. Kulkarni; Y. Mustopa The geometry of Ulrich bundles on del Pezzo surfaces, J. Algebra, Volume 375 (2013), pp. 280-301

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