Stable vector bundles over cuspidal cubics

• Autorzy: Lesya Bodnarchuk , Yuriy Drozd
• Języki publikacji: EN

Abstrakty

EN

We give a complete classification of stable vector bundles over a cuspidal cubic and calculate their cohomologies. The technique of matrix problems is used, similar to [2, 3].

Słowa kluczowe

EN

vector bundles; cohomologies; matrix problems; 14H60; 14H45; 15A21

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 4
• Strony: 650-660

Daty

wydano

2003-12-01

online

2003-12-01

Twórcy

autor

Lesya Bodnarchuk

• Universität Kaiserslautern,

autor

Yuriy Drozd

• Kyiv Taras Shevchenko University,

Bibliografia

• [1] I. Burban: “Stable vector bundles on a rational curve with one node”, Ukrainian Math. J., Vol. 55, No. 5, (2000).
• [2] Y. Drozd: “Matrix problems, small reduction and representations of a class of mixed Lie groups”, In: Representations of Algebras and Related Topics, Cambridge Univ. Press, 1992, pp. 225–249.
• [3] Y. Drozd and G.-M. Greuel: “Tame and wild projective curves and classification of vector bundles”, J. Algebra, Vol. 246, (2001), pp. 1–54. http://dx.doi.org/10.1006/jabr.2001.8934
• [4] A. Grothendieck: “Sur la classification des fibrés holomorphes sur la sphère de Riemann”, Amer. J. Math., Vol. 79, (1956), pp. 121–138. http://dx.doi.org/10.2307/2372388
• [5] R. Hartshorn: Algebraic Geometry, Springer, New York, 1977.
• [6] C. S. Seshadri: “Fibrés vectoriels sur les courbes algébriques”, Astérisque, Vol. 96, (1982).

Identyfikatory

DOI

10.2478/BF02475185