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Survey of the Arithmetic and Geometric Approach to the Schottky Problem

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In this article, we discuss and survey the recent progress towards the Schot tky problem, and make some comments on the relations between the Andre-Oort conjec ture, Okounkov convex bodies, Coleman’s conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.

Abstract

In this article, we discuss and survey the recent progress towards the Schot tky problem, and make some comments on the relations between the Andre-Oort conjec ture, Okounkov convex bodies, Coleman’s conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.

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