Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta

 Access to full text

 Full (PDF)

1. [B] BEAUVILLE (A.). - Le problème de Schottky et la conjecture de Novikov, [Exposé 675 au Séminaire Bourbaki], Astérisque, t. 152-153, 1987, p. 101-112. Zbl0637.14021MR89e:14029
2. [D-R] DESALE (U.V.) and RAMANAN (S.). - Classification of vector bundles of rank 2 on hyperelliptic curves, Invent. Math., t. 38, 1976, p. 161-185. Zbl0323.14012MR55 #2906
3. [vG] VAN GEEMEN (B.). - Schottky-Jung relations and vector bundles on hyperelliptic curves, Math. Ann., t. 281, 1988, p. 431-449. Zbl0626.14034MR89f:14046
4. [H] HARTSHORNE (R.). - Algebraic geometry. - New York-Heidelberg-Berlin, Springer-Verlag, 1977. Zbl0367.14001MR57 #3116
5. [K-M] KNUDSEN (F.) and MUMFORD (D.). - The projectivity of the moduli space of stable curves I, Math. Scand., t. 39, 1976, p. 19-55. Zbl0343.14008MR55 #10465
6. [M1] MUMFORD (D.). - On the equations defining abelian varieties, Invent. Math., t. 1, 1966, p. 287-354. Zbl0219.14024MR34 #4269
7. [M2] MUMFORD (D.). - Prym varieties I, Contributions to Analysis, p. 325-350. London-New-York, Academic Press, 1974. Zbl0299.14018MR52 #415
8. [M-F] MUMFORD (D.) and FOGARTY (J.). - Geometric invariant theory (2nd edition). Berlin-Heidelberg-New York, Springer-Verlag, 1982. Zbl0504.14008MR86a:14006
9. [N-R1] NARASIMHAN (M.S.) and RAMANAN (S.). - Moduli of vector bundles on a compact Riemann surface, Ann. of Math., t. 89, 1969, p. 19-51. Zbl0186.54902MR39 #3518
10. [N-R2] NARASIMHAN (M.S.) and RAMANAN (S.). - 2θ-linear systems on Abelian varieties, Vector bundles on algebraic varieties, p. 415-427. - Oxford University Press, 1987. Zbl0685.14023MR88j:14014
11. [R] RAMANAN (S.). - The moduli spaces of vector bundles over an algebraic curve, Math. Ann., t. 200, 1973, p. 69-84. Zbl0239.14013MR48 #3962
12. [Ra] RAYNAUD (M.). - Sections des fibrés vectoriels sur une courbe, Bull. Soc. Math. France, t. 110, 1982, p. 103-125. Zbl0505.14011MR84a:14009
13. [S1] SESHADRI (C.S.). - Space of unitary vector bundles on a compact Riemann surface, Ann. of Math., t. 85, 1967, p. 303-336. Zbl0173.23001MR38 #1693
14. [S2] SESHADRI (C.S.). - Fibrés vectoriels sur les courbes algébriques. - Astérisque 96, 1982. Zbl0517.14008MR85b:14023
15. [SGA 6] BERTHELOT (P.), GROTHENDIECK (A.) et ILLUSIE (L.). - Théorie des intersections et théorème de Riemann-Roch (SGA 6). Lecture Notes in Math. 225, Berlin-Heidelberg-New York, Springer-Verlag, 1971. Zbl0218.14001MR50 #7133

1. Arnaud Beauville, Vector Bundles on Riemann Surfaces and Conformal Field Theory
2. Laurent Ducrohet, The Frobenius action on rank $2$ vector bundles over curves in small genus and small characteristic
3. Arnaud Beauville, Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II
4. Christian Pauly, Emma Previato, Singularities of $2\Theta$-divisors in the jacobian