# Stable vector bundles over cuspidal cubics

Open Mathematics (2003)

- Volume: 1, Issue: 4, page 650-660
- ISSN: 2391-5455

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topLesya Bodnarchuk, and Yuriy Drozd. "Stable vector bundles over cuspidal cubics." Open Mathematics 1.4 (2003): 650-660. <http://eudml.org/doc/268839>.

@article{LesyaBodnarchuk2003,

abstract = {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].},

author = {Lesya Bodnarchuk, Yuriy Drozd},

journal = {Open Mathematics},

keywords = {14H60; 14H45; 15A21},

language = {eng},

number = {4},

pages = {650-660},

title = {Stable vector bundles over cuspidal cubics},

url = {http://eudml.org/doc/268839},

volume = {1},

year = {2003},

}

TY - JOUR

AU - Lesya Bodnarchuk

AU - Yuriy Drozd

TI - Stable vector bundles over cuspidal cubics

JO - Open Mathematics

PY - 2003

VL - 1

IS - 4

SP - 650

EP - 660

AB - 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].

LA - eng

KW - 14H60; 14H45; 15A21

UR - http://eudml.org/doc/268839

ER -

## References

top- [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. Zbl0829.16009
- [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 Zbl0079.17001
- [5] R. Hartshorn: Algebraic Geometry, Springer, New York, 1977.
- [6] C. S. Seshadri: “Fibrés vectoriels sur les courbes algébriques”, Astérisque, Vol. 96, (1982). Zbl0517.14008

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