MAGMA Computational Algebra System
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Next:
Introduction
Up:
MAGMA
Summary of New Features in Magma V2.16
November 2009
Introduction
Summary
Language and System Features
Aggregates
Records
Algebraic Geometry
Schemes
Sheaves
Algebraic Surfaces
Toric Varieties
Arithmetic Geometry
Rational Curves and Conics
Elliptic Curves
General Elliptic Curves
Elliptic Curves over the Rational Field
Elliptic Curves over Number Fields
Elliptic Curves over Finite Fields
Hyperelliptic Curves
L-Series
Arithmetic Geometry (Modular Forms)
Arithmetic Fuchsian Groups and Shimura Curves
Modular Forms
Modular Symbols
Hilbert Modular Forms
Modular Forms Over Imaginary Quadratic Fields
Admissible Representations of
GL
2
(
Q
p
)
Arithmetic Fields (Global)
Ring of Integers
Dirichlet Characters
Algebraic Number Fields
Algebraic Function Fields
Arithmetic Fields (Local)
Series Rings
General Local Fields
Basic Rings and Fields
Real and Complex Fields
Coding Theory
Linear Codes over Finite Rings
Commutative Algebra
Polynomial Rings
Multivariate Polynomial Rings
Ideal Theory and Gröbner Bases
Differential Rings
Groups
Finite Groups
Permutation Groups
Matrix Groups
Finite Soluble Groups
Finitely Presented Groups
Finitely Presented Abelian Groups
Groups Defined by Rewrite Systems
Automorphism Groups
Lattices
Lattices
Lie Theory
Reflection Groups
Groups of Lie Type
Representations
Linear Algebra and Module Theory
Matrices
Vector Spaces
R
-Modules
Modules Hom(
U
,
V
)
Linear Associative Algebras
Orders in Associative Algebras
Matrix Algebras
Quaternion Algebras
Quantum Groups
Finitely Presented Associative Algebras
Representation Theory
Modules over Algebras
K
[
G
]-Modules
Character Theory
Topology
Simplicial Complexes
