corrections in readme - navigate; tests

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jgarnek 2023-09-23 15:49:28 +00:00
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# SAGEMATH module: superelliptic curves and their abelian p-group covers
## Basic information
## Usage
The main file is init.sage. In order to use it, type:
The main file is *init.sage*. In order to use it, navigate to the folder with the module (*cd yourpath/DeRhamComputation*) and type:
```sage: load('init.sage')```
```load('init.sage')```
The main two "packages" are intended for:
- superelliptic curves,
- $(\mathbb Z/p)^n$-covers of superelliptic curves.
See below and the file examples.sage for examples.
See below and the file *examples.sage* for examples. Also, folders with name *tests* contain tests, which might be useful for learning.
## Superelliptic curves
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There are three auxilliary classes: superelliptic_function (for functions defined on superelliptic curves), superelliptic_form (for forms defined on superelliptic curves) and superelliptic_cech (for cech cocycles for the de Rham cohomology on superelliptic curves).
For example, in order to define the function $x + 2y + 1$ on our curve $C$ we can define it like this:
For example, we can define the function $x + 2y + 1$ on our curve $C$ like this:
```
Rxy.<x, y> = PolynomialRing(F, 2)