Effective divisors of higher rank on a curve and the Siegel formula

F. Ghione; M. Letizia

Compositio Mathematica (1992)

  • Volume: 83, Issue: 2, page 147-159
  • ISSN: 0010-437X

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Ghione, F., and Letizia, M.. "Effective divisors of higher rank on a curve and the Siegel formula." Compositio Mathematica 83.2 (1992): 147-159. <http://eudml.org/doc/90164>.

@article{Ghione1992,
author = {Ghione, F., Letizia, M.},
journal = {Compositio Mathematica},
keywords = {divisors of higher rank on a curve; -divisor; Tamagawa number; Betti numbers of the moduli spaces of stable vector bundles},
language = {eng},
number = {2},
pages = {147-159},
publisher = {Kluwer Academic Publishers},
title = {Effective divisors of higher rank on a curve and the Siegel formula},
url = {http://eudml.org/doc/90164},
volume = {83},
year = {1992},
}

TY - JOUR
AU - Ghione, F.
AU - Letizia, M.
TI - Effective divisors of higher rank on a curve and the Siegel formula
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 83
IS - 2
SP - 147
EP - 159
LA - eng
KW - divisors of higher rank on a curve; -divisor; Tamagawa number; Betti numbers of the moduli spaces of stable vector bundles
UR - http://eudml.org/doc/90164
ER -

References

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  1. 1 Atiyah, M.F. and Bott, R., The Yang-Mills Equations over Riemann Surfaces, Phil. Trans. R. Soc. Lond.A308 (1982), 523-615. Zbl0509.14014MR702806
  2. 2 Bifet, E., Une stratification du type Bialynicki-Birula des composants lisses du schéma Quot Orx/x/k., C.R. Acad. Sci. Paris, t.309, Serie I, 609-612, 1989. 
  3. 3 Deligne P., La conjecture de Weil I., Publ. Math. I.H.E.S.43 (1974), 261-307. Zbl0287.14001MR340258
  4. 4 Desale, U.V. and Ramanan, S., Poincaré Polynomials of the Variety of Stable Bundles, Math. Annln.216 (1975), 233-244. Zbl0317.14005MR379497
  5. 5 Grothendieck, A., Technique de Descente et Théorèmes d'Existence en Géométrie Algébrique IV Les Schémas de Hilbert, Séminaire Bourbaki (1960/61), Exp. 221. Zbl0236.14003
  6. 6 Harder G. and Narasimhan, M.S., On the Cohomology Groups of Moduli Spaces of Vector Bundles over Curves, Math. Annln.212 (1975), 215-248. Zbl0324.14006MR364254
  7. 7 Weil, A., Généralisation des Fonctiones Abéliennes, J. Math. Pures Appl.17 (1938), 47-87. Zbl0018.06302JFM64.0361.02
  8. 8 Weil, A., Adeles and Algebraic Groups, Lecture notes. The Institute for Advanced StudyPrinceton, 1961, reprinted as vol. 23 of Progress in Mathematics, Birkhäuser, Boston1982. Zbl0493.14028MR670072

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