4 papers
Holomorphic line bundles on a special abelian surface
Jae-Hyun Yang
We consider a special abelian surface deduced from the work of Tianze Wang, Tianqin Wang and Hongwen Lu \cite{WWL}. We study holomorphic line bundles over a special abelian s…
The modularity of an abelian variety
Jae-Hyun Yang
We introduce the concept of the modularity of an abelian variety defined over the rational number field extending the modularity of an elliptic curve. We discuss the modularity of…
Introduction to Automorphic Forms for $GL(n,\BZ)\ltimes \BZ^{(m,n)}$
Jae-Hyun Yang
In this paper, we introduce the notion of automorphic forms for $GL(n,\BZ)\ltimes \BZ^{(m,n)}$ and discuss invariant differential operators on the Minkowski-Euclid space. The group…
Geometry and Arithmetic on the Siegel-Jacobi Space
Jae-Hyun Yang
The Siegel-Jacobi space is a non-symmetric homogeneous space which is very important geometrically and arithmetically. In this paper, we discuss the theory of the geometry and the…