Welcome to OSCAR
General
Combinatorics
- Introduction
- Graphs
- Partially Ordered Sets
- Matroids
- Simplicial Complexes
- Phylogenetic Trees
- Enumerative combinatorics
Groups
Rings
- Introduction
- Ring functionality
- Integers
- Univariate Polynomials
  - Univariate polynomial functionality
- Multivariate Polynomials
  - Multivariate polynomials
- Euclidean Rings
  - Euclidean Ring Interface
- Modular Methods
  - Introduction
- Series Rings
Fields
Linear Algebra
- Introduction
- Working with matrices
- Matrix spaces
- Matrix algebras
- Modules
- Specialized matrix types
  - Nemo matrices
  - Sparse linear algebra
Number Theory
- Introduction
- Number Fields
- Orders
- Elliptic Curves
- Quadratic and Hermitian forms
- Quadratic forms and isometries
- Finite rings
- Abelian closure of the rationals
- Galois Theory
Polyhedral Geometry
Commutative Algebra
Invariant Theory
Algebraic Geometry
Tropical Geometry
Noncommutative Algebra
Lie Theory
Straight Line Programs
Experimental: Tools in the Making
- Adding new projects to experimental
- Experimental Template
  - Introduction
  - An example documentation
- Action Polynomial Rings
- Algebraic Shifting
- Algebraic Statistics
- Bases for highest weight modules
- Clifford Algebras
- Double complexes
  - Double complexes – the user's interface
  - Advice for the programmer
- Drawing Curves
  - Introduction
- Drinfeld–Hecke Algebras
- Extensions
  - Extensions
- F-Theory Tools
- G-Modules
  - Introduction
- Gröbner walk
  - Usage
  - Special ideals used for benchmarking
- Intersection Theory
- Lie Algebras
- Linear Algebraic Groups
  - Introduction
  - Overview
- Linear Quotients
- Local Cohomology
- Matroid Realization Spaces
  - Matroid Realization Spaces
- ModularGroup
  - Introduction
  - Modular subgroups
- Orthogonal discriminants
- OscarDB
  - OscarDB
  - Realizations of self-projecting matroids
- Parallel
  - Parallelization in Oscar
- Partitioned Permutations
  - Partitioned Permutations
- $q$-Analogs
  - $q$-analogs
- Standard Finite Fields
  - -
- Subalgbera (SAGBI) Bases
  - Subalgbera (SAGBI) Bases
- Wreath Macdonald polynomials
  - Wreath Macdonald polynomials
References
Index
Developer Documentation
- Contributing
- Implementation Details
- Testing, Debugging, and Performance
- Data
  - Serialization
  - Artifacts
- Maintenance
  - Release management
  - Updating CHANGELOG.md
- Topic-specific internals
  - Algebraic Geometry
    - Architecture of affine schemes
  - Commutative Algebra
    - A Framework for Localizing Rings
    - Localizations of modules over computable rings
  - Linear Algebra
    - Matrix implementation
    - Linear solving interface
  - Polyhedral Geometry
    - AbstractCollection
    - SubObjectIterator

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General
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Notes for SageMath users

Notes for SageMath users

Notes for SageMath users

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