| Directory > Science > Math > Geometry > Algebraic Geometry > Software 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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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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The algcurves Package in Maple
Examples, test files, plots, documentation.
http://www.math.fsu.edu/~hoeij/compalg/algcurves.html
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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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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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Hyperelliptic Curves MAGMA Package
Magma package files by Michael Stoll.
http://www.math.uni-duesseldorf.de/~stoll/magma/
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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/
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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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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
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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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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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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/
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