JOURNAL BROWSE
Search
Advanced SearchSearch Tips
LOCI OF RATIONAL CURVES OF SMALL DEGREE ON THE MODULI SPACE OF VECTOR BUNDLES
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
LOCI OF RATIONAL CURVES OF SMALL DEGREE ON THE MODULI SPACE OF VECTOR BUNDLES
Choe, In-Song;
  PDF(new window)
 Abstract
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)
 Keywords
rational curves;moduli of vector bundles over a curve;scroll;Torelli theorem;
 Language
English
 Cited by
1.
SMALL RATIONAL CURVES ON THE MODULI SPACE OF STABLE BUNDLES, International Journal of Mathematics, 2012, 23, 08, 1250085  crossref(new windwow)
 References
1.
J.-M. Drezet and M. S. Narasimhan, Groupe de Picard des varietes de modules de fibres semi-stables sur les courbes algebriques, Invent. Math. 97 (1989), no. 1, 53-94. crossref(new window)

2.
J.-M. Hwang, Hecke curves on the moduli space of vector bundles over an algebraic curve, Proceedings of the Symposium Algebraic Geometry in East Asia, Kyoto. (2001), 155-164.

3.
J. Kollar, Rational Curves on Algebraic Varieties, Springer-Verlag, Berlin, 1996.

4.
H. Lange, Zur Klassifikation von Regelmannigfaltigkeiten, Math. Ann. 262 (1983), no. 4, 447-459. crossref(new window)

5.
N. Mok and X. Sun, Remarks on lines and minimal rational curves, Sciences in China Series A: Mathematics 52 (2009), no. 6, 1-16. crossref(new window)

6.
M. S. Narasimhan and S. Ramanan, 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.

7.
S. Ramanan, The moduli spaces of vector bundles over an algebraic curve, Math. Ann. 200 (1973), 69-84. crossref(new window)

8.
B. Russo and M. Teixidor i Bigas, On a conjecture of Lange, J. Algebraic Geom. 8 (1999), no. 3, 483-496.

9.
X. Sun, Minimal rational curves on moduli spaces of stable bundles, Math. Ann. 331 (2005), no. 4, 925-937. crossref(new window)