Survey of the Arithmetic and Geometric Approach to the Schottky Problem

  • Yang, Jae-hyun
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초록

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

키워드

Theta functionJacobianAndre ' -Oort conjectureCompactificationsANDRE-OORT CONJECTUREMODULI SPACEKODAIRA DIMENSIONCANONICAL METRICSTHETA-FUNCTIONSTOROIDAL COMPACTIFICATIONSDIFFERENTIAL-OPERATORSHARMONIC-ANALYSISQUOTIENT-SPACESSIEGEL SPACE
제목
Survey of the Arithmetic and Geometric Approach to the Schottky Problem
저자
Yang, Jae-hyun
DOI
10.5666/KMJ.2023.63.4.647
발행일
2023-12
유형
Article
저널명
Kyungpook Mathematical Journal
63
4
페이지
647 ~ 707