LOCI OF RATIONAL CURVES OF SMALL DEGREE ON THE MODULI SPACE OF VECTOR BUNDLES

@article{Choe2011LOCIOR,
  title={LOCI OF RATIONAL CURVES OF SMALL DEGREE ON THE MODULI SPACE OF VECTOR BUNDLES},
  author={Insong Choe},
  journal={Bulletin of The Korean Mathematical Society},
  year={2011},
  volume={48},
  pages={377-386}
}
  • Insong Choe
  • Published 31 March 2011
  • Mathematics
  • Bulletin of The Korean Mathematical Society
For a smooth algebraic curve C of genus g 4, let (r, d) be the moduli space of semistable bundles of rank r 2 over C with fixed determinant of degree d. When (r,d) = 1, it is known that (r, d) is a smooth Fano variety of Picard number 1, whose rational curves passing through a general point have degree r with respect to the ampl generator of Pic((r, d)). In this paper, we study the locus swept out by the rational curves on (r, d) of degree (r, d). 
Small rational curves on the moduli space of stable bundles
For a smooth projective curve C with genus g >= 2 and a degree 1 line bundle L on C, let M := SU_{C}(r;L) be the moduli space of stable vector bundles of rank r and with the fixed determinant L. InExpand

References

SHOWING 1-10 OF 11 REFERENCES
Minimal rational curves on moduli spaces of stable bundles
Let C be a smooth projective curve of genus g ≥ 2 and L be a line bundle on C of degree d. Let M := UC(r,L) be the moduli space of stable vector bundles on C of rank r and with the fixed determinantExpand
On a conjecture of Lange
Let C be a projective smooth curve of genus g> 1. Let E be a vector bundle of rank r on C. For each integer r' 0. The conjecture has recently been solved thanks to work of Lange- Narasimhan,Expand
Remarks on lines and minimal rational curves
We determine all of lines in the moduli space M of stable bundles for arbitrary rank and degree. A further application of minimal rational curves is also given in last section.
Rational curves on algebraic varieties
  • J. Kollár
  • Mathematics, Computer Science
  • Ergebnisse der Mathematik und ihrer Grenzgebiete
  • 1996
TLDR
It is shown here how the model derived recently in [Bouchut-Boyaval, M3AS (23) 2013] can be modified for flows on rugous topographies varying around an inclined plane. Expand
Functoriality of automorphic L-functions through their zeros
AbstractLet E be a Galois extension of ℚ of degree l, not necessarily solvable. In this paper we first prove that the L-function L(s, π) attached to an automorphic cuspidal representation π of $$Expand
Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques
Soient X une courbe algebrique projective lisse de genre g ≥ 2 sur ℂ, r, d des entiers, avec r ≥ 2. On note U(r,d) la variete de modules des fibres algebriques semi-stables sur X de rang r et deExpand
Hecke curves on the moduli space of vector bundles over an algebraic curve
Geometry of Hecke cycles
  • I, C. P. Ramanujam—a tribute, pp. 291–345, Tata Inst. Fund. Res. Studies in Math., 8, Springer, Berlin-New York
  • 1978
Geometry of Hecke cycles. I, C. P. Ramanujam-a tribute
  • Tata Inst. Fund. Res. Studies in Math
  • 1978
...
1
2
...