# Rational points on non-normal hypercubics

**Authors:** Evgeny Mayanskiy

arXiv: 1705.08149 · 2017-05-24

## TL;DR

This paper extends the known results on counting rational points from a specific cubic surface to a broader class of non-normal integral hypercubics that are not cones, enhancing understanding of rational solutions on these varieties.

## Contribution

It generalizes the count of rational points from the Cayley ruled cubic surface to all non-normal integral hypercubics that are not cones.

## Key findings

- Count of rational points extends to all non-normal integral hypercubics not cones
- Provides a unified approach for these hypercubics
- Enhances understanding of rational solutions on non-normal cubic varieties

## Abstract

We show that the count of rational points by de la Bret\`{e}che, Browning and Salberger on the Cayley ruled cubic surface extends to all non-normal integral hypercubics which are not cones.

## Full text

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## References

4 references — full list in the complete paper: https://tomesphere.com/paper/1705.08149/full.md

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Source: https://tomesphere.com/paper/1705.08149