no. 5-6
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

Coskun, Emre1
1 Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey
Comptes Rendus. Mathématique, Tome 351 (2013) no. 5-6, pp. 221-224.

Dans cette note, nous démontrons quʼil existe des fibrés dʼUlrich stables de chaque rang pair sur une surface quartique lisse X⊂P3 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⊂P3 with Picard number 1.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.04.005
Coskun, Emre 1

1 Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey 
@article{CRMATH_2013__351_5-6_221_0,
     author = {Coskun, Emre},
     title = {Ulrich bundles on quartic surfaces with {Picard} number 1},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {221--224},
     publisher = {Elsevier},
     volume = {351},
     number = {5-6},
     year = {2013},
     doi = {10.1016/j.crma.2013.04.005},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.crma.2013.04.005/}
}
TY  - JOUR
AU  - Coskun, Emre
TI  - Ulrich bundles on quartic surfaces with Picard number 1
JO  - Comptes Rendus. Mathématique
PY  - 2013
SP  - 221
EP  - 224
VL  - 351
IS  - 5-6
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.crma.2013.04.005/
DO  - 10.1016/j.crma.2013.04.005
LA  - en
ID  - CRMATH_2013__351_5-6_221_0
ER  - 
%0 Journal Article
%A Coskun, Emre
%T Ulrich bundles on quartic surfaces with Picard number 1
%J Comptes Rendus. Mathématique
%D 2013
%P 221-224
%V 351
%N 5-6
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.crma.2013.04.005/
%R 10.1016/j.crma.2013.04.005
%G en
%F CRMATH_2013__351_5-6_221_0
Coskun, Emre. Ulrich bundles on quartic surfaces with Picard number 1. Comptes Rendus. Mathématique, Tome 351 (2013) no. 5-6, pp. 221-224. doi : 10.1016/j.crma.2013.04.005. http://www.numdam.org/articles/10.1016/j.crma.2013.04.005/

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

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

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

Cité par Sources :