It is currently Fri Apr 20, 2018 8:06 am


All times are UTC [ DST ]




Post new topic Reply to topic  [ 1 post ] 
Author Message
PostPosted: Sat Oct 08, 2016 12:23 pm 
Team Member

Joined: Tue Nov 10, 2015 8:25 pm
Posts: 313
Examine whether the following Riemann Surfaces are biholomorphic :

  • $ \mathbb{H} \, / < z \mapsto z + 2 > $ and $ \mathbb{H} \, / < z \mapsto z + 3 > $.
  • $ \mathbb{H} \, / < z \mapsto 2z > $ and $ \mathbb{H} \, / < z \mapsto 3z > $.

where by $ < z \mapsto \frac{az+b}{cz+d} > $ we mean the subgroup of $ Aut( \mathbb{H} ) \cong PSL(2,\mathbb{R}) $ generated by the specified element.


Top
Offline Profile  
Reply with quote  

Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 1 post ] 

All times are UTC [ DST ]


Mathimatikoi Online

Users browsing this forum: No registered users and 1 guest


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
cron
Powered by phpBB® Forum Software © phpBB Group Color scheme created with Colorize It.
Theme created StylerBB.net