Stable G 2 bundles and algebraically completely integrable systems

L. Katzarkov; T. Pantev

Compositio Mathematica (1994)

  • Volume: 92, Issue: 1, page 43-60
  • ISSN: 0010-437X

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Katzarkov, L., and Pantev, T.. "Stable $G_2$ bundles and algebraically completely integrable systems." Compositio Mathematica 92.1 (1994): 43-60. <http://eudml.org/doc/90298>.

@article{Katzarkov1994,
author = {Katzarkov, L., Pantev, T.},
journal = {Compositio Mathematica},
keywords = {exceptional Lie group; moduli space over compact Riemann surface; compactification of level set of integrable system; Prym variety; Jacobian variety; completely integrable system},
language = {eng},
number = {1},
pages = {43-60},
publisher = {Kluwer Academic Publishers},
title = {Stable $G_2$ bundles and algebraically completely integrable systems},
url = {http://eudml.org/doc/90298},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Katzarkov, L.
AU - Pantev, T.
TI - Stable $G_2$ bundles and algebraically completely integrable systems
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 92
IS - 1
SP - 43
EP - 60
LA - eng
KW - exceptional Lie group; moduli space over compact Riemann surface; compactification of level set of integrable system; Prym variety; Jacobian variety; completely integrable system
UR - http://eudml.org/doc/90298
ER -

References

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  1. [B] A. Beauville: Prym varieties and the Schottky problem, Invent. Math.41 (1977) 149-196. Zbl0333.14013MR572974
  2. [BNR] A. Beauville, M.S. Narasimhan and S. Ramanan: Spectral curves and the generalized theta divisor, J. reine angew. Math.398 (1989) 169-179. Zbl0666.14015MR998478
  3. [BK] A. Beilinson and D. Kazhdan: Flat Projective Connections (1990) preprint. 
  4. [D] R. Donagi: Spectral covers, to appear in Journees de Geometrie Algebraique, Orsay. Zbl0877.14026MR1397059
  5. [H1] N. Hitchin: Stable bundles and integrable systems, Duke Math. Journ.54 (1987) 91-114. Zbl0627.14024MR885778
  6. [H2] N. Hitchin: The self-duality equations on the Riemann surface, Proc. London Math. Soc.55 (1987) 59-126. Zbl0634.53045MR887284
  7. [K1] V. Kanev: Spectral curves, simple Lie algebras and Prym-Tjurin varieties, Proc. Symp. Pure Math.49(1) (1989) 627-649. Zbl0707.14041MR1013158
  8. [K2] V. Kanev: Theta Divizors of Generalized Prym Varieties. I., Lect. Notes in Math.1124, pp. 166-215 (Springer-Verlag) 1985. Zbl0575.14037MR805335
  9. [L] S. Lang: Abelian Varieties (Springer-Verlag) 1983. Zbl0516.14031MR713430
  10. [OGV] A. Onischik, V. Gorbatsevitch, E. Vinberg: The Structure of the Lie Groups and Algebras, Encycl. of Math. Sciences41, ch. 5 (Springer-Verlag) 1992). Zbl0797.22001
  11. [Sch] G. Schwartz: Invariant theory of G2 and spin 7, Comment. Math. Helvetici63 (1988) 624-663. Zbl0664.14006
  12. [Sh] V. Shokurov: Prym varieties: theory and application, Math. USSR Izvestiya23 (1984) 83-147. Zbl0572.14025MR712095
  13. [R] A. Ramanathan: Moduli for Principal Bundles, Lect. Notes in Math.732, pp 527-533 (Springer-Verlag) 1979 Zbl0419.14005MR555715
  14. [S] C. Simpson: Moduli of Representation of the Fundamental Group of a Smooth Projective Variety (1989) preprint. 

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