Does global warming mean more rain?

This global warming results in the rise in the temperature of the earth . And as we know that the solidified water that is ice will melt with an increase in temperature . What I mean to say is that as the temperature of the earth rises the water in the poles will melt which leads to rise in the volume of the water bodies. And as the heat rises evaporation takes place and water cycle goes on more than ever . In this way indirectly global warming is related to rain.