Some results on the second Gaussian map for curves
Elisabetta Colombo and Paola Frediani
Source: Michigan Math. J. Volume 58, Issue 3
(2009), 745-758.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.mmj/1260475698
Digital Object Identifier: doi:10.1307/mmj/1260475698
Zentralblatt MATH identifier: 05665442
Mathematical Reviews number (MathSciNet): MR2595562
References
A. Andreotti and A. Mayer, On period relations for abelian integrals on algebraic curves, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 21 (1967), 189--238.
Mathematical Reviews (MathSciNet): MR220740
E. Arbarello and M. Cornalba, Su una congettura di Petri, Comment. Math. Helv. 56 (1981), 1--38.
Mathematical Reviews (MathSciNet): MR615613
Digital Object Identifier: doi:10.1007/BF02566195
E. Arbarello, M. Cornalba, P. Griffiths, and J. Harris, Geometry of algebraic curves, vol. I, Grundlehren Math. Wiss., 267, Springer-Verlag, New York, 1985.
Mathematical Reviews (MathSciNet): MR770932
E. Ballico and C. Fontanari, On the surjectivity of higher Gaussian maps for complete intersection curves, Ricerche Mat. 53 (2004), 79--85.
A. Bertram, L. Ein, and R. Lazarsfeld, Surjectivity of Gaussian maps for line bundles of large degree on curves, Algebraic geometry (Chicago, 1989), Lecture Notes in Math., 1479, pp. 15--25, Springer-Verlag, Berlin, 1991.
Mathematical Reviews (MathSciNet): MR1181203
Zentralblatt MATH: 0752.14036
J. Brawner, The Gaussian--Wahl map for trigonal curves, Proc. Amer. Math. Soc. 123 (1995), 1357--1361.
C. Ciliberto, J. Harris, and R. Miranda, On the surjectivity of the Wahl map, Duke Math. J. 57 (1988), 829--858.
Mathematical Reviews (MathSciNet): MR975124
Zentralblatt MATH: 0684.14009
Digital Object Identifier: doi:10.1215/S0012-7094-88-05737-7
Project Euclid: euclid.dmj/1077307215
C. Ciliberto and R. Miranda, Gaussian map for canonical curves of low genus, Duke Math. J. 61 (1990), 417--443.
Mathematical Reviews (MathSciNet): MR1074304
Zentralblatt MATH: 0747.14006
Digital Object Identifier: doi:10.1215/S0012-7094-90-06118-6
Project Euclid: euclid.dmj/1077296825
------, Gaussian maps for certain families of canonical curves, Complex projective geometry (Trieste and Bergen, 1989), London Math. Soc. Lecture Note Ser., 179, pp. 106--127, Cambridge Univ. Press, Cambridge, 1992.
Mathematical Reviews (MathSciNet): MR1201378
Zentralblatt MATH: 0776.14006
Digital Object Identifier: doi:10.1017/CBO9780511662652.009
E. Colombo and P. Frediani, Siegel metric and curvature of the moduli space of curves, Trans. Amer. Math. Soc. (to appear).
Mathematical Reviews (MathSciNet): MR2563728
Zentralblatt MATH: 1196.14025
Digital Object Identifier: doi:10.1090/S0002-9947-09-04845-4
E. Colombo, G. P. Pirola, and A. Tortora, Hodge--Gaussian maps, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 30 (2001), 125--146.
Mathematical Reviews (MathSciNet): MR1882027
Zentralblatt MATH: 1018.14001
M. Coppens, C. Keem, and G. Martens, Primitive linear series on curves, Manuscripta Math. 77 (1992), 237--264.
Mathematical Reviews (MathSciNet): MR1188583
Zentralblatt MATH: 0786.14016
Digital Object Identifier: doi:10.1007/BF02567056
J. Duflot and R. Miranda, The Gaussian map for rational ruled surfaces, Trans. Amer. Math. Soc. 330 (1992), 447--459.
Mathematical Reviews (MathSciNet): MR1061775
Zentralblatt MATH: 0769.14011
Digital Object Identifier: doi:10.2307/2154174
JSTOR: links.jstor.org
M. L. Green, Quadrics of rank four in the ideal of a canonical curve, Invent. Math. 75 (1984), 85--104.
Mathematical Reviews (MathSciNet): MR728141
Zentralblatt MATH: 0542.14018
Digital Object Identifier: doi:10.1007/BF01403092
------, Infinitesimal methods in Hodge theory, Algebraic cycles and Hodge theory (Torino, 1993), Lecture Notes in Math., 1594, pp. 1--92, Springer-Verlag, Berlin, 1994.
Mathematical Reviews (MathSciNet): MR1335239
Zentralblatt MATH: 0846.14001
P. A. Griffiths, Infinitesimal variations of Hodge structures, III: Determinantal varieties and the infinitesimal invariant of normal functions, Compositio Math. 50 (1983), 267--324.
Mathematical Reviews (MathSciNet): MR720290
Zentralblatt MATH: 0576.14009
A. Maroni, Le serie lineari speciali sulle curve trigonali, Ann. Mat. Pura Appl. (4) 25 (1946), 343--354.
Mathematical Reviews (MathSciNet): MR24182
Zentralblatt MATH: 0061.35407
Digital Object Identifier: doi:10.1007/BF02418090
S. Mori and S. Mukai, The uniruledness of the moduli space of curves of genus 11, Algebraic geometry (Tokyo and Kyoto, 1982), Lecture Notes in Math., 1016, pp. 334--353, Springer-Verlag, Berlin, 1983.
Mathematical Reviews (MathSciNet): MR726433
Zentralblatt MATH: 0557.14015
E. Sernesi, Moduli of rational fibrations, preprint, arXiv:math/0702865v2.
C. Voisin, Sur l'application de Wahl des courbes satisfaisant la condition de Brill--Noether--Petri, Acta Math. 168 (1992), 249--272.
Mathematical Reviews (MathSciNet): MR1161267
Zentralblatt MATH: 0767.14012
Digital Object Identifier: doi:10.1007/BF02392980
J. Wahl, The Jacobian algebra of a graded Gorenstein singularity, Duke Math. J. 55 (1987), 843--871.
Mathematical Reviews (MathSciNet): MR916123
Zentralblatt MATH: 0644.14001
Digital Object Identifier: doi:10.1215/S0012-7094-87-05540-2
Project Euclid: euclid.dmj/1077306300
------, Gaussian maps on algebraic curves, J. Differential Geom. 32 (1990), 77--98.
Mathematical Reviews (MathSciNet): MR1064866
Zentralblatt MATH: 0724.14022
Project Euclid: euclid.jdg/1214445038
------, Introduction to Gaussian maps on an algebraic curve, Complex projective geometry (Trieste and Bergen, 1989), London Math. Soc. Lecture Note Ser., 179, pp. 304--323, Cambridge Univ. Press, Cambridge, 1992.
Mathematical Reviews (MathSciNet): MR1201392
Zentralblatt MATH: 0790.14014
Digital Object Identifier: doi:10.1017/CBO9780511662652.023
The Michigan Mathematical Journal