The authors discuss the proper holomorphic mappings between special Hartogs triangles of different dimensions and obtain a corresponding classification theorem.
The Lie algebra of derivations of rational function field C(t) is C(t) dt/d.The automorphism group of C(t) is well known as to be isomorphic to the projective linear groupPGL(2, C). In this short note we prove that ev...The Lie algebra of derivations of rational function field C(t) is C(t) dt/d.The automorphism group of C(t) is well known as to be isomorphic to the projective linear groupPGL(2, C). In this short note we prove that every automorphism of C(t) dt/d can be induced in anatural way from an automorphism of C(t).展开更多
基金the National Natural Science Foundation of China (No. 10571135)the Doctoral Program Foundation of the Ministry of Education of China (No. 20050240711)
文摘The authors discuss the proper holomorphic mappings between special Hartogs triangles of different dimensions and obtain a corresponding classification theorem.
文摘The Lie algebra of derivations of rational function field C(t) is C(t) dt/d.The automorphism group of C(t) is well known as to be isomorphic to the projective linear groupPGL(2, C). In this short note we prove that every automorphism of C(t) dt/d can be induced in anatural way from an automorphism of C(t).