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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 closed field of characteristic 0.
http://www.risc.uni-linz.ac.at/software/casa/
INSTANTON
Mathematica program which calculates instanton numbers and other data for Calabi-Yau complete intersections in toric varieties by A. Klemm.
http://www.th.physik.uni-bonn.de/th/People/netah/cy/codes/inst.m
surf
A tool to visualize real algebraic geometry: plane algebraic curves, algebraic surfaces and hyperplane sections of surfaces.
http://surf.sourceforge.net/
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 half-space.
http://www.math.lsu.edu/~wamelen/genus2.html
TESS
C code which computes the Hodge number of complete intersection Calabi-Yau manifolds embedded in products of ordinary projective spaces.
http://www.th.physik.uni-bonn.de/th/People/netah/cy/codes/tess.html
Fundamental Domains
A Java 1.1.1 applet for drawing fundamental domains for congruence subgroups acting on the upper-half plane. By Helena Verrill.
http://hverrill.net/fundomain/
Hyperelliptic Curves MAGMA Package
Magma package files by Michael Stoll.
http://www.math.uni-duesseldorf.de/~stoll/magma/
Ganith
Algebraic geometry tookit for the computation and visualization of algebraic equations. FTP download.
http://www.ticam.utexas.edu/CCV/projects/shastra/toolkits/ganith.html
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.
http://www.math.fsu.edu/~hoeij/compalg/IntBasis/
The algcurves Package in Maple
Examples, test files, plots, documentation.
http://www.math.fsu.edu/~hoeij/compalg/algcurves.html
PAFF
Package for Algebraic Function Fields in one variable. Based on Axiom. Source code is available.
http://www-rocq.inria.fr/codes/Gaetan.Hache/PAFF.html
Magma Computational Algebra System Home Page
A Computational Algebra system for algebra, number theory and geometry.
http://magma.maths.usyd.edu.au/
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