# Asymptotic period relations for Jacobian elliptic surfaces

## TL;DR

This paper provides an asymptotic description of the period locus for simply connected Jacobian elliptic surfaces and hyperelliptic curves, revealing a surprising connection to the alkanes of organic chemistry.

## Contribution

It introduces a novel asymptotic framework linking the period loci of elliptic surfaces and hyperelliptic curves with chemical structures.

## Key findings

- Period locus described asymptotically for elliptic surfaces and hyperelliptic curves
- The descriptions are essentially identical
- Connection to alkanes in organic chemistry

## Abstract

We find an asymptotic description of the period locus of simply connected Jacobian elliptic surfaces and of the period locus of hyperelliptic curves. The two descriptions are essentially the same, and are given by the alkanes of organic chemistry.

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Source: https://tomesphere.com/paper/1904.13344