A note on the Schottky problem

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{é}-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.

61 pages. arXiv admin note: text overlap with arXiv:1009.0369, arXiv:1508.03922 by other authors. I added some materials and some references. The title has been changed