Article
Kyungpook Mathematical Journal 2023; 63(4): 647-707
Published online December 31, 2023 https://doi.org/10.5666/KMJ.2023.63.4.647
Copyright © Kyungpook Mathematical Journal.
Survey of the Arithmetic and Geometric Approach to the Schottky Problem
Jae-Hyun Yang
Department of Mathematics, Inha University, Incheon 22212, Republic of Korea
e-mail : jhyang@inha.ac.kr or jhyang8357@gmail.com
Received: March 7, 2023; Accepted: May 7, 2023
In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the André-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.
Keywords: Theta function, Jacobian, André,-Oort conjecture, Compactifications, Siegel-Jacobi space