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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 clos
http://www.risc.uni-linz.ac.at/software/casa/
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» 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
http://www.math.lsu.edu/~wamelen/genus2.html
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» 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
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» 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
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» 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/
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» 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
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» 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
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» surf 
A tool to visualize real algebraic geometry: plane algebraic curves, algebraic surfaces and hyperplane sections of surfaces.
http://surf.sourceforge.net/
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