| [1] |
S. Arita, S. Miura, and T. Sekiguchi.
An addition algorithm on the Jacobian varieties of curves.
J. Ramanujan Math. Soc., 19(4):235–251, 2004. |
| [2] |
Philip Boalch.
Higher genus icosahedral Painlevé curves.
Funk. Ekvac. (Kobe),, 50:19–32, 2007. |
| [3] |
Irene I. Bouw and Stefan Wewers.
Indigenous bundles with nilpotent p-curvature.
Int. Math. Res. Not., Art. ID 89254, 37 pages, 2006. |
| [4] |
Louis Hugo Brewis.
Liftable D4-covers.
Manuscripta Math., 126(3):293–313, 2008. |
| [5] |
Nils Bruin.
The arithmetic of Prym varieties in genus 3.
Compos. Math., 144(2):317–338, 2008. |
| [6] |
E. Bujalance, Marston Conder, J. M. Gamboa, G. Gromadzki, and M. Izquierdo.
Double coverings of Klein surfaces by a given Riemann surface.
J. Pure Appl. Algebra, 169(2-3):137–151, 2002. |
| [7] |
Emilio Bujalance, F. J. Cirre, and Marston Conder.
On extendability of group actions on compact Riemann surfaces.
Trans. Amer. Math. Soc., 355(4):1537–1557 (electronic), 2003. |
| [8] |
Gabriel Cardona.
Representations of Gk-groups and twists of the genus two curve
y² = x5 - x.
J. Algebra, 303(2):707–721, 2006. |
| [9] |
J.-M. Couveignes.
Linearizing torsion classes in the Picard group of algebraic curves
over finite fields.
J. Algebra, 321(8):2085–2118, 2009. |
| [10] |
John Cremona, Tom Fisher, Cathy O'Neil, Denis Simon, and Michael Stoll.
Explicit n-descent on elliptic curves II: Geometry.
arXiv:math.NT/0611606, 24 pages, 2006. |
| [11] |
Laurent Ducrohet.
The action of the Frobenius map on rank 2 vector bundles over genus
2 curves in small characteristics.
arXiv:math.AG/0512597, 50 pages, 2005. |
| [12] |
Tom Fisher.
Genus one curves defined by Pfaffians.
24 pages, 2004. |
| [13] |
Tom Fisher.
Testing equivalence of ternary cubics.
In Algorithmic Number Theory (Berlin, 2006), volume 4076 of
Lecture Notes in Comput. Sci., pages 333–345. Springer, Berlin, 2006. |
| [14] |
Tom Fisher.
The invariants of a genus one curve.
Proc. Lond. Math. Soc. (3), 97(3):753–782, 2008. |
| [15] |
Stéphane Flon, Roger Oyono, and Christophe Ritzenthaler.
Fast addition on non-hyperelliptic genus 3 curves.
In Algebraic geometry and its applications, volume 5 of Ser. Number Theory Appl., pages 1–28. World Sci. Publ., Hackensack, NJ,
2008. |
| [16] |
P. Gaudry, F. Hess, and N. P. Smart.
Constructive and destructive facets of Weil descent on elliptic
curves.
J. Cryptology, 15(1):19–46, 2002. |
| [17] |
P. Gaudry, T. Houtmann, D. Kohel, C. Ritzenthaler, and A. Weng.
The 2-adic CM method for genus 2 curves with application to
cryptography.
In Advances in cryptology—ASIACRYPT 2006, volume 4284 of
Lecture Notes in Comput. Sci., pages 114–129. Springer, Berlin, 2006. |
| [18] |
P. Gaudry and É. Schost.
On the invariants of the quotients of the Jacobian of a curve of
genus 2.
In Applied Algebra, Algebraic Algorithms and
Error-correcting Codes (Melbourne, 2001), volume 2227 of Lecture
Notes in Comput. Sci., pages 373–386. Springer, Berlin, 2001. |
| [19] |
Martine Girard.
The group of Weierstrass points of a plane quartic with at least
eight hyperflexes.
Math. Comp., 75(255):1561–1583 (electronic), 2006. |
| [20] |
Martine Girard and David R. Kohel.
Classification of genus 3 curves in special strata of the moduli
space.
In Algorithmic Number Theory (Berlin, 2006), volume 4076 of
Lecture Notes in Comput. Sci., pages 346–360. Springer, Berlin, 2006. |
| [21] |
Edray Herber Goins and Davin Maddox.
Heron triangles via elliptic curves.
Rocky Mountain J. Math., 36(5):1511–1526, 2006. |
| [22] |
Jordi Guàrdia.
Jacobian Nullwerte, periods and symmetric equations for
hyperelliptic curves.
Ann. Inst. Fourier (Grenoble), 57(4):1253–1283, 2007. |
| [23] |
Robert Guralnick and John Shareshian.
Symmetric and alternating groups as monodromy groups of Riemann
surfaces. I. Generic covers and covers with many branch points.
Mem. Amer. Math. Soc., 189(886):vi+128, 2007. |
| [24] |
Emmanuel Hallouin.
Study and computation of a Hurwitz space and totally real PSL2(F8)-extensions of Q.
J. Algebra, 292(1):259–281, 2005. |
| [25] |
F. Hess.
Computing Riemann-Roch spaces in algebraic function fields and
related topics.
J. Symbolic Comput., 33(4):425–445, 2002. |
| [26] |
Florian Hess.
An algorithm for computing Weierstrass points.
In Algorithmic Number Theory (Sydney, 2002), volume 2369 of
Lecture Notes in Comput. Sci., pages 357–371. Springer, Berlin, 2002. |
| [27] |
Christopher Holden.
Mod 4 Galois representations and elliptic curves.
Proc. Amer. Math. Soc., 136(1):31–39 (electronic), 2008. |
| [28] |
Hendrik Hubrechts.
Quasi-quadratic elliptic curve point counting using rigid cohomology.
J. Symb. Comput., 44(9):1255–1267, 2009. |
| [29] |
Samuel Kadziela.
Rigid analytic uniformization of curves and the study of isogenies.
Acta Appl. Math., 99(2):185–204, 2007. |
| [30] |
A. Kontogeorgis.
The ramification sequence for a fixed point of an automorphism of a
curve and the Weierstrass gap sequence.
Math. Z., 259(3):471–479, 2008. |
| [31] |
Aristides Kontogeorgis and Victor Rotger.
On abelian automorphism groups of Mumford curves and applications
to Shimura curves.
arXiv:math.AG/0604099, 16 pages, 2006. |
| [32] |
Aristides Kontogeorgis and Yifan Yang.
Automorphisms of hyperelliptic modular curves X0(n) in
positive characteristic.
arXiv:0811.0876, 20 pages, 2008. |
| [33] |
D. Lehavi and C. Ritzenthaler.
Formulas for the arithmetic geometric mean of curves of genus 3.
arXiv:math.AG/0403182, 26 pages, 2005. |
| [34] |
Claus Lehr and Michel Matignon.
Wild monodromy and automorphisms of curves.
Duke Math. J., 135(3):569–586, 2006. |
| [35] |
Adam Logan and Ronald van Luijk.
Nontrivial elements of Sha explained through K3 surfaces.
Math. Comp., 78(265):441–483, 2009. |
| [36] |
Kay Magaard, Tanush Shaska, and Helmut Völklein.
Genus 2 curves that admit a degree 5 map to an elliptic curve.
Forum Math., 21(3):547–566, 2009. |
| [37] |
Coy L. May and Jay Zimmerman.
The groups of symmetric genus σ ≤ 8.
Comm. Algebra, 36(11):4078–4095, 2008. |
| [38] |
Tetsuo Nakano.
On the moduli space of pointed algebraic curves of low genus. II.
Rationality.
Tokyo J. Math., 31(1):147–160, 2008. |
| [39] |
Laura Hitt O'Connor, Gary McGuire, Michael Naehrig, and Marco Streng.
CM construction of genus 2 curves with p-rank 1.
arXiv:0811.3434, 19 pages, 2008. |
| [40] |
Adrien Poteaux.
Computing monodromy groups defined by plane algebraic curves.
In SNC'07, pages 36–45. ACM, New York, 2007. |
| [41] |
Magali Rocher.
Large p-group actions with a p-elementary abelian derived group.
Journal of Algebra, 321(2):704 – 740, 2009. |
| [42] |
Josef Schicho and David Sevilla.
Tschirnhaus-Weierstrass curves.
arXiv:0808.3038, 14 pages, 2008. |
| [43] |
Jasper Scholten and Hui June Zhu.
Families of supersingular curves in characteristic 2.
Math. Res. Lett., 9(5-6):639–650, 2002. |
| [44] |
T. Shaska.
Computational aspects of hyperelliptic curves.
In Computer Mathematics, volume 10 of Lecture Notes Ser.
Comput., pages 248–257. World Sci. Publishing, River Edge, NJ, 2003. |
| [45] |
Tanush Shaska.
Determining the automorphism group of a hyperelliptic curve.
In Proceedings of the 2003 International Symposium on Symbolic
and Algebraic Computation, pages 248–254 (electronic), New York, 2003. ACM. |
| [46] |
Tony Shaska.
Genus 2 curves with (3, 3)-split Jacobian and large automorphism
group.
In Algorithmic Number Theory (Sydney, 2002), volume 2369 of
Lecture Notes in Comput. Sci., pages 205–218. Springer, Berlin, 2002. |
| [47] |
Paul B. van Wamelen.
Computing with the analytic Jacobian of a genus 2 curve.
In Discovering Mathematics with Magma, volume 19 of Algorithms Comput. Math., pages 117–135. Springer, Berlin, 2006. |
| [48] |
Yuri G. Zarhin.
Absolutely simple Prymians of trigonal curves.
arXiv:0809.4887, 12 pages, 2008. |
| [49] |
Alexander Zvonkin.
Megamaps: Construction and examples.
In Discrete Models: Combinatorics, Computation, and
Geometry (Paris, 2001), Discrete Math. Theor. Comput. Sci. Proc., AA,
pages 329–339 (electronic). Maison Inform. Math. Discrèt. (MIMD), Paris,
2001. |
