Polarisations of type $(1,2,\dotsc,2)$ on abelian varieties
D. S. Nagaraj and S. Ramanan
Source: Duke Math. J. Volume 80, Number 1
(1995), 157-194.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077245858
Mathematical Reviews number (MathSciNet): MR1360615
Zentralblatt MATH identifier: 0879.14020
Digital Object Identifier: doi:10.1215/S0012-7094-95-08007-7
References
[1] M. F. Atiyah and I. M. Singer, The index of elliptic operators. III, Ann. of Math. (2) 87 (1968), 546–604.
Mathematical Reviews (MathSciNet): MR38:5245
Zentralblatt MATH: 0164.24301
Digital Object Identifier: doi:10.2307/1970717
JSTOR: links.jstor.org
[2] F. Bardelli, C. Ciliberto, and A. Verra, Curves of minimal genus on a general abelian variety, preprint.
Mathematical Reviews (MathSciNet): MR1326709
Zentralblatt MATH: 0864.14027
[3] A. Beauville, M. S. Narasimhan, and S. Ramanan, Spectral curves and the generalised theta divisor, J. Reine Angew. Math. 398 (1989), 169–179.
Mathematical Reviews (MathSciNet): MR91c:14040
Zentralblatt MATH: 0666.14015
Digital Object Identifier: doi:10.1515/crll.1989.398.169
[4] I. Biswas and S. Ramanan, An infinitesimal study of Hitchin pairs, to appear.
[5] A. B. Coble, Agebraic Geometry and Theta Functions, Amer. Math. Soc. Colloq. Publ., vol. 10, Amer. Math. Soc., Providence, 1929.
Mathematical Reviews (MathSciNet): MR123958
[6] U. V. Desale and S. Ramanan, Classification of vector bundles of rank $2$ on hyperelliptic curves, Invent. Math. 38 (1976/77), no. 2, 161–185.
Mathematical Reviews (MathSciNet): MR55:2906
Zentralblatt MATH: 0323.14012
Digital Object Identifier: doi:10.1007/BF01408570
[7] R. Donagi, The tetragonal construction, Bull. Amer. Math. Soc. (N.S.) 4 (1981), no. 2, 181–185.
Mathematical Reviews (MathSciNet): MR82a:14009
Zentralblatt MATH: 0491.14016
Digital Object Identifier: doi:10.1090/S0273-0979-1981-14875-8
Project Euclid: euclid.bams/1183547998
[8] R. Donagi and R. Smith, The structure of the Prym map, Acta Math. 146 (1981), no. 1-2, 25–102.
Mathematical Reviews (MathSciNet): MR82k:14030b
Zentralblatt MATH: 0538.14019
Digital Object Identifier: doi:10.1007/BF02392458
[9] J. M. Drezet and M. S. Narasimhan, Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques, Invent. Math. 97 (1989), no. 1, 53–94.
Mathematical Reviews (MathSciNet): MR90d:14008
Zentralblatt MATH: 0689.14012
Digital Object Identifier: doi:10.1007/BF01850655
[10] M. Green and R. Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1985), no. 1, 73–90.
Mathematical Reviews (MathSciNet): MR87g:14022
Zentralblatt MATH: 0594.14010
Digital Object Identifier: doi:10.1007/BF01388754
[11] Y. Laszlo, A propos de l'espace des modules de fibré de rang $2$ sur une courbe, to appear.
[12] D. Mumford, On the equations defining abelian varieties. I, Invent. Math. 1 (1966), 287–354.
Mathematical Reviews (MathSciNet): MR34:4269
Zentralblatt MATH: 0219.14024
Digital Object Identifier: doi:10.1007/BF01389737
[13] D. Mumford, Prym varieties. I, Contributions to analysis (a collection of papers dedicated to Lipman Bers), Academic Press, New York, 1974, pp. 325–350.
Mathematical Reviews (MathSciNet): MR52:415
Zentralblatt MATH: 0299.14018
[14] M. S. Narasimhan and S. Ramanan, Moduli of vector bundles on a compact Riemann surface, Ann. of Math. (2) 89 (1969), 14–51.
Mathematical Reviews (MathSciNet): MR39:3518
Zentralblatt MATH: 0186.54902
Digital Object Identifier: doi:10.2307/1970807
JSTOR: links.jstor.org
[15] M. S. Narasimhan and S. Ramanan, Generalised Prym varieties as fixed points, J. Indian Math. Soc. (N.S.) 39 (1975), 1–19 (1976).
Mathematical Reviews (MathSciNet): MR54:12777
Zentralblatt MATH: 0422.14018
[16] M. S. Narasimhan and S. Ramanan, $2\theta$-linear systems on abelian varieties, Vector bundles on algebraic varieties (Bombay, 1984), Tata Inst. Fund. Res. Stud. Math., vol. 11, Tata Inst. Fund. Res., Bombay, 1987, pp. 415–427.
Mathematical Reviews (MathSciNet): MR88j:14014
Zentralblatt MATH: 0685.14023
[17] N. Nitsure, Moduli space of semistable pairs on a curve, Proc. London Math. Soc. (3) 62 (1991), no. 2, 275–300.
Mathematical Reviews (MathSciNet): MR92a:14010
Zentralblatt MATH: 0733.14005
Digital Object Identifier: doi:10.1112/plms/s3-62.2.275
[18] W. M. Oxbury, Theta-characteristic-valued endomorphisms of a stable bundle, to appear.
[19] K. Paranjape and S. Ramanan, On the canonical ring of a curve, Algebraic geometry and commutative algebra, Vol. II, Kinokuniya, Tokyo, 1988, pp. 503–516.
Mathematical Reviews (MathSciNet): MR90b:14024
Zentralblatt MATH: 0699.14041
[20] S. Ramanan, Ample divisors on abelian surfaces, Proc. London Math. Soc. (3) 51 (1985), no. 2, 231–245.
Mathematical Reviews (MathSciNet): MR87d:14034
Zentralblatt MATH: 0603.14013
Digital Object Identifier: doi:10.1112/plms/s3-51.2.231
[21] S. Recillas, Jacobians of curves with $g\sp1\sb4$'s are the Prym's of trigonal curves, Bol. Soc. Mat. Mexicana (2) 19 (1974), no. 1, 9–13.
Mathematical Reviews (MathSciNet): MR58:666
Zentralblatt MATH: 0343.14012
[22] G. E. Welters, Polarized abelian varieties and the heat equations, Compositio Math. 49 (1983), no. 2, 173–194.
Mathematical Reviews (MathSciNet): MR85f:14045
Zentralblatt MATH: 0576.14042
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