Skip to content
master
Switch branches/tags
Code

Latest commit

 

Git stats

Files

Permalink
Failed to load latest commit information.
Type
Name
Latest commit message
Commit time
doc
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Abelfunctions

Gitter Build Status

A Sage library for computing with Abelian functions, Riemann surfaces, and algebraic curves. Abelfunctions is the Ph.D. thesis work of Chris Swierczewski. (GitHub: cswiercz). Abelfunctions requires Sage 8.0 or later.

sage: from abelfunctions import *
sage: R.<x,y> = QQ[]
sage: X = RiemannSurface(y**3 + 2*x**3*y - x**7)
sage: X.riemann_matrix()
array([[-1.30901699+0.95105652j, -0.80901699+0.58778525j],
       [-0.80901699+0.58778525j, -1.00000000+1.1755705j ]])
sage: P = X(0)[0]; P
(t, 1/2*t^4 + O(t^7))
sage: AbelMap(P)
array([-0.29124012+0.64492948j, -0.96444625+1.1755705j ])
sage: gamma = X.path(P)
sage: gamma.plot_x(); gamma.plot_y(color='green');

x-projection of path y-projection of path

Documentation and Help

For installation instructions, tutorials on how to use this software, and a complete reference to the code, please see the Documentation. You can also post questions in the Abelfunctions chat room

Please report any bugs you find or suggest enhancements on the Issues Page.

Extensions to Abelfunctions

  • CyclePainter - A tool for building custom paths on Riemann surfaces

Citing this Software

C. Swierczewski et. al., Abelfunctions: A library for computing with Abelian functions, Riemann surfaces, and algebraic curves, http://github.com/abelfunctions/abelfunctions, 2017.

BibTeX:

@misc{abelfunctions,
  author = {C. Swierczewski and others},
  title = {Abelfunctions: A library for computing with Abelian functions, Riemann surfaces, and algebraic curves},
  note= {\tt http://github.com/abelfunctions/abelfunctions},
  year = 2017,
}

About

A library for computing with Abelian functions, Riemann surfaces, and algebraic curves.

Resources

License

Packages

No packages published