Hecke curves and Hitchin discriminant

Jun-Muk Hwang[1]; S. Ramanan

  • [1] Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Séoul 130-012 (Corée Sud)

Annales scientifiques de l'École Normale Supérieure (2004)

  • Volume: 37, Issue: 5, page 801-817
  • ISSN: 0012-9593

How to cite

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Hwang, Jun-Muk, and Ramanan, S.. "Hecke curves and Hitchin discriminant." Annales scientifiques de l'École Normale Supérieure 37.5 (2004): 801-817. <http://eudml.org/doc/82646>.

@article{Hwang2004,
affiliation = {Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Séoul 130-012 (Corée Sud)},
author = {Hwang, Jun-Muk, Ramanan, S.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {smooth curves; vector bundles; moduli spaces},
language = {eng},
number = {5},
pages = {801-817},
publisher = {Elsevier},
title = {Hecke curves and Hitchin discriminant},
url = {http://eudml.org/doc/82646},
volume = {37},
year = {2004},
}

TY - JOUR
AU - Hwang, Jun-Muk
AU - Ramanan, S.
TI - Hecke curves and Hitchin discriminant
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2004
PB - Elsevier
VL - 37
IS - 5
SP - 801
EP - 817
LA - eng
KW - smooth curves; vector bundles; moduli spaces
UR - http://eudml.org/doc/82646
ER -

References

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  2. [2] Beauville A., Narasimhan M.S., Ramanan S., Spectral curves and the generalized theta divisor, J. Reine Angew. Math.398 (1989) 169-179. Zbl0666.14015MR998478
  3. [3] Hitchin N.J., Stable bundles and integrable systems, Duke Math. J.54 (1987) 91-114. Zbl0627.14024MR885778
  4. [4] Hwang J.-M., Mok N., Projective manifolds dominated by abelian varieties, Math. Z.238 (2001) 89-100. Zbl1076.14021MR1860736
  5. [5] Hwang J.-M., Mok N., Finite morphisms onto Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles, J. Algebraic Geom.12 (2003) 627-651. Zbl1038.14018MR1993759
  6. [6] Hwang J.-M., Mok N., Birationality of the tangent map for minimal rational curves, Asian J. Math.8 (2004) 51-64, (Special issue dedicated to Y.-T. Siu on his 60th birthday). Zbl1072.14015MR2128297
  7. [7] Hwang J.-M., Tangent vectors to Hecke curves on the moduli space of rank 2 bundles over an algebraic curve, Duke Math. J.101 (2000) 179-187. Zbl0988.14013MR1733732
  8. [8] Hwang J.-M., Geometry of minimal rational curves on Fano manifolds, in: School on Vanishing Theorems and Effective Results in Algebraic Geometry (Trieste, 2000), Abdus Salam Int. Cent. Theoret. Phys., Trieste, ICTP Lect. Notes, vol. 6, 2001, pp. 335-393. Zbl1086.14506MR1919462
  9. [9] Hwang J.-M., Hecke curves on the moduli space of vector bundles over an algebraic curve, in: Algebraic Geometry in East Asia (Kyoto, 2001), World Scientific, 2002, pp. 155-164. Zbl1077.14044MR2030452
  10. [10] Kouvidakis A., Pantev T., The automorphism group of the moduli space of semi-stable bundles, Math. Annalen302 (1995) 225-268. Zbl0841.14029MR1336336
  11. [11] Laumon G., Un analogue global du cône nilpotent, Duke Math. J.57 (1988) 647-671. Zbl0688.14023MR962524
  12. [12] Narasimhan M.S., Ramanan S., Deformations of the moduli space of vector bundles over an algebraic curve, Ann. Math.101 (1975) 391-417. Zbl0314.14004MR384797
  13. [13] Narasimhan M.S., Ramanan S., Geometry of Hecke cycles I, in: C.P. Ramanujam – a Tribute, Springer-Verlag, 1978, pp. 291-345. Zbl0427.14002MR541029

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