There is no water going into my ice maker.
Do not attempt service or replace parts of the appliance unless referred to in the owner's manual. Follow all safety precautions provided in the owner's manual.
It is possible the fill tube has frozen. In many instances, if the fill tube starts to freeze up, it is due to slow water flow through the tube. The water valve at the back of the refrigerator could be failing or something may be affecting the water pressure to the refrigerator.  
 
If there is a water filter on the line, we recommend checking it for a possible filter change. In addition, the way the water line was connected to the household water line can also affect water flow. The connection could be partially blocked due to accumulation of particles in the water. If the water line is connected with a self-piercing valve, it will also cause low water pressure.