Research toward to construct a concrete theory of Abelian functions

目前，我们不可能没有三角函数来讨论世界。阿贝尔函数是三角函数的高度泛化的高级函数，毫无疑问，它将是未来非常重要的函数。任何阿贝尔函数都有一个称为“亏格”的数。三角函数是亏格为0的函数，椭圆函数是亏格为1的函数。虽然这些函数有非常具体的理论，但亏格大于1的阿贝尔函数在具体理论上却很差。通过这个项目，我构造了一个关于亏格大于1的阿贝尔函数的非常具体的理论。

Currently, it is impossible for us to discuss the World without trgonometric functions. Abelian functions are advanced functions that highly generalizes the trigonomatric functions, and will be, no doubt, very important functions in the future. Any Abelian function has a number that called "genus". Trigonometric functions are of genus 0 and elliptic functions are of genus 1. Athough these functions have very concrete theory, Abelian functions of genus greater than 1 has so poor in concrete theory. Through this project I constructed a very concrete theory of Abelian functions of genus greater than 1.