# A note on the Schottky problem

## TL;DR

This paper surveys recent advances in the Schottky problem, exploring connections with various conjectures and mathematical structures such as André-Oort, stable forms, and Siegel-Jacobi spaces, highlighting ongoing research directions.

## Contribution

It provides a comprehensive overview of recent progress and discusses the interplay between the Schottky problem and several key conjectures and theories in algebraic geometry and number theory.

## Key findings

- Summarizes recent progress in the Schottky problem
- Explores relations with André-Oort and Coleman's conjecture
- Discusses connections to stable modular and Jacobi forms

## Abstract

In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the Andr{\'e}-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.