# The geometric classification of nilpotent Tortkara algebras

## TL;DR

This paper provides a comprehensive geometric classification of all 6-dimensional nilpotent Tortkara algebras over the complex numbers, advancing understanding of their structure and relationships.

## Contribution

It offers the first complete geometric classification of 6-dimensional nilpotent Tortkara algebras, filling a gap in algebraic structure theory.

## Key findings

- Complete classification of 6-dimensional nilpotent Tortkara algebras
- Identification of geometric structures and relations among these algebras
- Foundation for further algebraic and geometric studies

## Abstract

We give a geometric classification of all $6$-dimensional nilpotent Tortkara algebras over $\mathbb C$