This is the companion Github repository to my thesis in Informatics Civil Engineering at Federico Santa María Technical University, Valparaíso, Chile, titled "A computational approach to classification of additive smooth Fano polytopes".

This directory contains the Python code, which produced most of the results present in the text. It is also the most faithful implementation of the processes and algorithms described therein, and its files roughly match its sections.

You may also view the contents directly on Google Colab:

• STFV - Web scraping the GRDB.ipynb
• STFV - Proposed Solution, Results.ipynb
• STFV - Results Validation.ipynb

This directory contains version 0.1 of AdditiveProjectiveToricVarieties, a new Macaulay2 package with methods for working with additive actions on projective toric varieties.

To install the package, simply open a terminal in macaulay2 and run:

M2
installPackage("AdditiveProjectiveToricVarieties")

To see the docs, run:

M2
viewHelp

and open the link to the package docs.

To run the tests:

M2
check AdditiveProjectiveToricVarieties

This folder contains a beamer and abstract from a talk at V-Encuentro Teoría de Números. These may be read as a short introduction to the topic.

These files contain pre-processed and processed data from the GRDB and M Obro, "An algorithm for the classification of smooth Fano polytopes", arXiv:0704.0049 (2007).

Beamer used at the thesis defense. This may be read as a longer introduction to the topic.