The Michigan Mathematical Journal

Curves of given p-rank with trivial automorphism group

Jeffrey D. Achter, Darren Glass, and Rachel Pries

Source: Michigan Math. J. Volume 56, Issue 3 (2008), 583-592.

Primary Subjects: 11G20, 14H37

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/1231770361
Digital Object Identifier: doi:10.1307/mmj/1231770361
Mathematical Reviews number (MathSciNet): MR2490647
Zentralblatt MATH identifier: 05509674

References

J. Achter and R. Pries, Monodromy of the $p$-rank strata of the moduli space of curves, Internat. Math. Res. Notices 15 (2008).
J. Bertin and A. Mézard, Déformations formelles des revêtements sauvagement ramifiés de courbes algébriques, Invent. Math. 141 (2000), 195--238.
Mathematical Reviews (MathSciNet): MR1767273
Digital Object Identifier: doi:10.1007/s002220000071
J. Bertin and M. Romagny, Champs de Hurwitz, preprint, 2007, math.AG/0701680.
S. Bosch, W. Lütkebohmert, and M. Raynaud, Néron models, Ergeb. Math. Grenzgeb. (3), 21, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR1045822
R. Crew, Étale $p$-covers in characteristic $p,$ Compositio Math. 52 (1984), 31--45.
Mathematical Reviews (MathSciNet): MR742696
S. Diaz, Complete subvarieties of the moduli space of smooth curves, Algebraic geometry, Bowdoin (Brunswick, 1985), Proc. Sympos. Pure Math., 46, pp. 77--81, Amer. Math. Soc., Providence, RI, 1987.
Mathematical Reviews (MathSciNet): MR927950
C. Faber and G. van der Geer, Complete subvarieties of moduli spaces and the Prym map, J. Reine Angew. Math. 573 (2004), 117--137.
Mathematical Reviews (MathSciNet): MR2084584
I. Fischer, The moduli of hyperelliptic curves, Trans. Amer. Math. Soc. 82 (1956), 64--84.
Mathematical Reviews (MathSciNet): MR77997
Digital Object Identifier: doi:10.2307/1992978
D. Glass and R. Pries, Hyperelliptic curves with prescribed $p$-torsion, Manuscripta Math. 117 (2005), 299--317.
Mathematical Reviews (MathSciNet): MR2154252
Digital Object Identifier: doi:10.1007/s00229-005-0559-0
S. Gorchinsky and F. Viviani, Families of hyperelliptic curves, preprint, 2005, math.AG/0511627.
T. Ibukiyama, T. Katsura, and F. Oort, Supersingular curves of genus two and class numbers, Compositio Math. 57 (1986), 127--152.
Mathematical Reviews (MathSciNet): MR827350
E. Looijenga, On the tautological ring of $\Cal M_g,$ Invent. Math. 121 (1995), 411--419.
Mathematical Reviews (MathSciNet): MR1346214
Digital Object Identifier: doi:10.1007/BF01884306
J. S. Milne, Jacobian varieties, Arithmetic geometry (Storrs, 1984), pp. 167--212, Springer-Verlag, New York, 1986.
Mathematical Reviews (MathSciNet): MR861976
B. Poonen, Varieties without extra automorphisms. I. Curves, Math. Res. Lett. 7 (2000), 67--76.
Mathematical Reviews (MathSciNet): MR1748288
------, Varieties without extra automorphisms. II. Hyperelliptic curves, Math. Res. Lett. 7 (2000), 77--82.
Mathematical Reviews (MathSciNet): MR1748289
H. Popp, The singularities of the moduli schemes of curves, J. Number Theory 1 (1969), 90--107.
Mathematical Reviews (MathSciNet): MR237492
Digital Object Identifier: doi:10.1016/0022-314X(69)90027-4
R. Pries and H. J. Zhu, The $p$-rank of Artin--Schreier curves, preprint, arXiv:math.NT/0609657.
J.-P. Serre, Corps locaux, Hermann, Paris, 1968.
Mathematical Reviews (MathSciNet): MR354618
H. J. Zhu, Hyperelliptic curves over $\Bbb F_2$ of every 2-rank without extra automorphisms, Proc. Amer. Math. Soc. 134 (2006), 323--331.
Mathematical Reviews (MathSciNet): MR2175998
Digital Object Identifier: doi:10.1090/S0002-9939-05-08294-8

2010 © The University of Michigan