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Computational Methods
14-04, 14Qxx
| [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] |
Gavin Brown and Kaori Suzuki.
Computing Fano 3-folds of index ≥ 3.
arXiv:math/0610958, 11 pages, 2006. |
| [3] |
Laurent Busé and Marc Chardin.
Implicitizing rational hypersurfaces using approximation complexes.
J. Symbolic Comput., 40(4-5):1150–1168, 2005. |
| [4] |
David A. Cox, John Little, and Donal O'Shea.
Using Algebraic Geometry, volume 185 of Graduate Texts
in Mathematics.
Springer, New York, second edition, 2005. |
| [5] |
Wolfram Decker and Christoph Lossen.
Computing in algebraic geometry, volume 16 of Algorithms
and Computation in Mathematics.
Springer-Verlag, Berlin, 2006. |
| [6] |
André Galligo and David Rupprecht.
Irreducible decomposition of curves.
J. Symbolic Comput., 33(5):661–677, 2002. |
| [7] |
Martine Girard and Leopoldo Kulesz.
Computation of sets of rational points of genus-3 curves via the
Demjanenko-Manin method.
LMS J. Comput. Math., 8:267–300 (electronic), 2005. |
| [8] |
Michael Harrison and Josef Schicho.
Rational parametrisation for degree 6 Del Pezzo surfaces using
Lie algebras.
In ISSAC 2006, pages 132–137. ACM, New York, 2006. |
| [9] |
H. Hubrechts.
Point counting in families of hyperelliptic curves.
arXiv:math.NT/0601438v1, 35 pages, 2006. |
| [10] |
Hendrik Hubrechts.
Memory efficient hyperelliptic curve point counting.
arXiv:math.NT/0609032, 10 pages, 2006. |
| [11] |
Gabriela Jeronimo, Teresa Krick, Juan Sabia, and Martín Sombra.
The computational complexity of the Chow form.
Found. Comput. Math., 4(1):41–117, 2004. |
| [12] |
Tanja Lange.
Formulae for arithmetic on genus 2 hyperelliptic curves.
Appl. Algebra Engrg. Comm. Comput., 15(5):295–328, 2005. |
| [13] |
Alan G. B. Lauder.
A recursive method for computing zeta functions of varieties.
LMS J. Comput. Math., 9:222–269 (electronic), 2006. |
| [14] |
Claus Lehr and Michel Matignon.
Wild monodromy and automorphisms of curves.
Duke Math. J, To appear, 15 pages, 2006. |
| [15] |
Walter D. Neumann and Penelope G. Wightwick.
Algorithms for polynomials in two variables.
In Combinatorial and Computational Algebra (Hong Kong,
1999), volume 264 of Contemp. Math., pages 219–235. Amer. Math. Soc.,
Providence, RI, 2000. |
| [16] |
Jana Pílniková.
Parametrizing algebraic varieties using Lie algebras.
arXiv:math.AG/0610727, 74 pages, 2006. |
| [17] |
Tanush Shaska.
Computational algebra and algebraic curves.
Comm. Comp. Alg., 37(4):117–124, 2003. |
| [18] |
Dongming Wang.
Decomposing algebraic varieties.
In Automated Deduction in Geometry (Beijing, 1998), volume
1669 of Lecture Notes in Comput. Sci., pages 180–206. Springer,
Berlin, 1999. |
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