[Cubiques symétroïdes et fibrés vectoriels sur une surface quadrique]
We investigate the jumping conics of stable vector bundles
Nous étudions les coniques de saut des fibrés vectoriels stables
Accepté le :
Publié le :
Sukmoon Huh 1
@article{CRMATH_2013__351_13-14_557_0, author = {Sukmoon Huh}, title = {Cubic symmetroids and vector bundles on a quadric surface}, journal = {Comptes Rendus. Math\'ematique}, pages = {557--560}, publisher = {Elsevier}, volume = {351}, number = {13-14}, year = {2013}, doi = {10.1016/j.crma.2013.07.018}, language = {en}, }
Sukmoon Huh. Cubic symmetroids and vector bundles on a quadric surface. Comptes Rendus. Mathématique, Volume 351 (2013) no. 13-14, pp. 557-560. doi : 10.1016/j.crma.2013.07.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.07.018/
[1] Footnotes to a theorem of I. Reider, LʼAquila, 1988 (Lect. Notes Math.), Volume vol. 1417, Springer, Berlin (1990), pp. 67-74
[2] Rationality of moduli spaces of vector bundles on rational surfaces, Nagoya Math. J., Volume 162 (2002), pp. 43-69
[3] Classical Algebraic Geometry: A Modern View, Cambridge University Press, Cambridge, UK, 2012 (xii+639 pp)
[4] On the moduli of vector bundles on an algebraic surface, Ann. of Math. (2), Volume 106 (1977) no. 1, pp. 45-60
[5] Algebraic Geometry, Graduate Texts in Mathematics, vol. 52, Springer-Verlag, New York, 1977
[6] Jumping conics on a smooth quadric in
[7] Moduli of stable sheaves on a smooth quadric and a Brill–Noether locus, J. Pure Appl. Algebra, Volume 215 (2011) no. 9, pp. 2099-2105
[8] Lectures on Vector Bundles, Cambridge Studies in Advanced Mathematics, vol. 54, Cambridge University Press, Cambridge, 1997 (Translated by A. Maciocia)
[9] Lectures on Hilbert Schemes of Points on Surfaces, University Lecture Series, vol. 18, American Mathematical Society, Providence, RI, 1999
Cité par Sources :
Commentaires - Politique