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.

Abstract (VO)
Résumé

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.

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.

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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     title = {Ulrich bundles on quartic surfaces with {Picard} number 1},
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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

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[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

Ciro Ciliberto; Flaminio Flamini; Andreas Leopold Knutsen Ulrich bundles on a general blow-up of the plane, Annali di Matematica Pura ed Applicata. Serie Quarta, Volume 202 (2023) no. 4, pp. 1835-1854 | DOI:10.1007/s10231-023-01303-4 | Zbl:1516.14080
Debojyoti Bhattacharya Geometry of certain Brill-Noether locus on a very general sextic surface and Ulrich bundles, Proceedings of the Indian Academy of Sciences. Mathematical Sciences, Volume 132 (2022) no. 1, p. 30 (Id/No 22) | DOI:10.1007/s12044-021-00652-5 | Zbl:1494.14042
Laurent Manivel Ulrich and aCM bundles from invariant theory, Communications in Algebra, Volume 47 (2019) no. 2, pp. 706-718 | DOI:10.1080/00927872.2018.1495222 | Zbl:1436.14082
Emre Coskun A Survey of Ulrich Bundles, Analytic and Algebraic Geometry (2017), p. 85 | DOI:10.1007/978-981-10-5648-2_6
Marian Aprodu; Gavril Farkas; Angela Ortega Minimal resolutions, Chow forms and Ulrich bundles on $K 3$ surfaces, Journal für die Reine und Angewandte Mathematik, Volume 730 (2017), pp. 225-249 | DOI:10.1515/crelle-2014-0124 | Zbl:1387.14088

Cité par 5 documents. Sources : Crossref, zbMATH

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