# Normality of the Kimura 3-parameter model

## TL;DR

This paper proves that all algebraic varieties related to the Kimura 3-parameter model are projectively normal, confirming a key conjecture in algebraic statistics and advancing understanding of this fundamental phylogenetic model.

## Contribution

It establishes the projective normality of algebraic varieties associated with the Kimura 3-parameter model, confirming Michalek's conjecture.

## Key findings

- All algebraic varieties of the model are projectively normal.
- Confirmed a significant conjecture in algebraic statistics.
- Enhances mathematical understanding of the Kimura 3-parameter model.

## Abstract

The Kimura 3-parameter model is one of the most fundamental phylogenetic models in algebraic statistics. We prove that all algebraic varieties associated to this model are projectively normal, confirming a conjecture of Michalek.