Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Proper Holomorphic Maps of Plane Domains of Finite Connectivity


Affiliations
1 Department of Mathematics, S.I.W.S. College, 337, Sewree-Wadala Estate, Wadala, Mumbai 400 031, India
     

   Subscribe/Renew Journal


In this note, we give a proof of the fact that if Ω and Ω' are domains of finite connectivity ≥ 3 in ℂ, then the number of proper holomorphic maps from Ω to Ω' is finite. As a special case we deduce a well known result that Aut(Ω) is finite for any domain Ω in ℂ of finite connectivity ≥ 3.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 222

PDF Views: 0




  • Proper Holomorphic Maps of Plane Domains of Finite Connectivity

Abstract Views: 222  |  PDF Views: 0

Authors

Gollakota V. V. Hemasundar
Department of Mathematics, S.I.W.S. College, 337, Sewree-Wadala Estate, Wadala, Mumbai 400 031, India

Abstract


In this note, we give a proof of the fact that if Ω and Ω' are domains of finite connectivity ≥ 3 in ℂ, then the number of proper holomorphic maps from Ω to Ω' is finite. As a special case we deduce a well known result that Aut(Ω) is finite for any domain Ω in ℂ of finite connectivity ≥ 3.