Stable vector bundles over cuspidal cubics

Lesya Bodnarchuk; Yuriy Drozd

Open Mathematics (2003)

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

Abstract

top
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].

How to cite

top

Lesya 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. [1] I. Burban: “Stable vector bundles on a rational curve with one node”, Ukrainian Math. J., Vol. 55, No. 5, (2000). 
  2. [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. [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. [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. [5] R. Hartshorn: Algebraic Geometry, Springer, New York, 1977. 
  6. [6] C. S. Seshadri: “Fibrés vectoriels sur les courbes algébriques”, Astérisque, Vol. 96, (1982). Zbl0517.14008

NotesEmbed ?

top

You must be logged in to post comments.