一种证明B_2×B_2上全纯自同构群的新方法

A New Method to Prove the Holomorphic Automorphism Group of B_2×B_2

通过B_2×B_2上的全纯自同构将零截面映为零截面这一性质导出了一种证明B_2×B_2上全纯自同构群的新方法,通过计算得到了B_2×B_2的Bergman核函数及自同构Jacobi行列式。

According to the property of the holomorphic automorphism that maps the zero section of B2xB2 to itself, we first derived a new method to investigate the holomorphic automorphism group of B2×B2, then obtained the Bergman kernel function eind the Jacobi determinant of the automorphism of B2×B2 by calculation.