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A note on the Schottky problem

Jae-Hyun Yang

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.

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.

Paper Structure

This paper contains 42 theorems, 209 equations.

Key Result

Theorem 2.1

(Riemann's bilinear addition formula) I1

Theorems & Definitions (91)

  • Definition 2.1
  • Definition 2.2
  • Theorem 2.1
  • Theorem 2.2
  • Remark 2.1
  • Theorem 2.3
  • Definition 2.3
  • Remark 2.2
  • Theorem 2.4
  • Definition 2.4
  • ...and 81 more