Directory of Software Resources

Subcategories

CASA 2.3

http://www.risc.jku.at/software/casa/
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 closed field of characteristic 0.
Computing with the Jacobian of a Genus 2 Curve

http://www.math.lsu.edu/~wamelen/genus2.html
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 half-space.
IntBasis

http://www.math.fsu.edu/~hoeij/compalg/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.
Magma Computational Algebra System Home Page

http://magma.maths.usyd.edu.au/
A Computational Algebra system for algebra, number theory and geometry.
surf

http://surf.sourceforge.net/
A tool to visualize real algebraic geometry: plane algebraic curves, algebraic surfaces and hyperplane sections of surfaces.
The algcurves Package in Maple

http://www.math.fsu.edu/~hoeij/compalg/algcurves.html
Examples, test files, plots, documentation.

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