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Elliptic Curves@
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PAFF PAFF
PAFF PAFF: Package for Algebraic Function Fields in one variable. Based on Axiom. Source code is available. (Software)
http://www-rocq.inria.fr/codes/Gaetan.Hache/PAFF.html
Magma Computational Algebra System Home Page Magma Computational Algebra System Home Page
Magma Computational Algebra System Home Page Magma Computational Algebra System Home Page: A Computational Algebra system for algebra, number theory and geometry. (Software)
http://magma.maths.usyd.edu.au/
Computing with the Jacobian of a Genus 2 Curve Computing with the Jacobian of a Genus 2 Curve
Computing with the Jacobian of a Genus 2 Curve Computing with the Jacobian of a Genus 2 Curve: Pari/GP and Mathematica code to: Compute an equation for a genus 2 curve with a given Jacobian; Move points between the analytic Jacobian (as a torus) and the algebraic Jacobian (as a variety); Work with a fundamental domain for 2 dimensional Siegel upper (Software)
http://www.math.lsu.edu/~wamelen/genus2.html
IntBasis IntBasis
IntBasis IntBasis: Algorithms coded in Maple for computing with algebraic curves. The main algorithm computes an integral basis of an algebraic function field using Puiseux expansions. (Software)
http://www.math.fsu.edu/~hoeij/compalg/IntBasis/
CASA 2.3 CASA 2.3
CASA 2.3 CASA 2.3: Computer Algebra Software for constructive Algebraic geometry. Designed for performing computations and reasoning about geometric objects in classical algebraic geometry, in particular affine and projective algebraic geometry over an algebraically clos (Software)
http://www.risc.uni-linz.ac.at/software/casa/
INSTANTON INSTANTON
INSTANTON INSTANTON: Mathematica program which calculates instanton numbers and other data for Calabi-Yau complete intersections in toric varieties by A. Klemm. (Software)
http://www.th.physik.uni-bonn.de/th/People/netah/cy/codes/inst.m
Fundamental Domains Fundamental Domains
Fundamental Domains Fundamental Domains: A Java 1.1.1 applet for drawing fundamental domains for congruence subgroups acting on the upper-half plane. By Helena Verrill. (Software)
http://hverrill.net/fundomain/
Ganith Ganith
Ganith Ganith: Algebraic geometry tookit for the computation and visualization of algebraic equations. FTP download. (Software)
http://www.ticam.utexas.edu/CCV/projects/shastra/toolkits/ganith.html
surf surf
surf surf: A tool to visualize real algebraic geometry: plane algebraic curves, algebraic surfaces and hyperplane sections of surfaces. (Software)
http://surf.sourceforge.net/
TESS TESS
TESS TESS: C code which computes the Hodge number of complete intersection Calabi-Yau manifolds embedded in products of ordinary projective spaces. (Software)
http://www.th.physik.uni-bonn.de/th/People/netah/cy/codes/tess.html
The algcurves Package in Maple The algcurves Package in Maple
The algcurves Package in Maple The algcurves Package in Maple: Examples, test files, plots, documentation. (Software)
http://www.math.fsu.edu/~hoeij/compalg/algcurves.html