Placing your TV above the fireplace seems like a great idea. It doesn't get in the way, it looks nice, and it's often the most convenient place to put it in a room. However, there are serious issues that arise from this practice.

Fire TV: How to adjust the image on your TV screen
If you watch TV occasionally, then there's probably no problem. But if you watch for hours every day, make sure you're aware of all the issues you might face.
Viewing angle
When a television is placed above the fireplace, it is usually located at a fairly high point, resulting in viewers having to hold their heads higher than normal.
Sure, this isn't a problem in all rooms. The fireplace may be low, or you may be far enough away that you don't have to lift your head too much. But if you've ever had neck problems, often from something work-, this aspect is something to consider as it could exacerbate such an injury.
Connecting a computer to a TV via an HDMI cable
Most of us would prefer to look down a bit at a TV. It's a much more natural position. Ideally you should be able to maintain a neutral/relaxed head position to watch your TV, which will vary depending on the position of your sofa/seat and so on.

The TV will be off-axis
Almost every TV on the market today is an LCD. The picture on most LCD screens looks much worse if you're not looking straight at them. Even a few inches off center can make the picture look very different from what it is.
This is fairly easy to fix, although you will need some specific equipment. Some wall mounts allow you to angle the TV down so that it faces directly into the living room.
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Heat and soot damage
There's nothing worse for an electronic product than heat. Increasing the operating temperature of your TV can shorten its lifespan.
Even worse, soot from the fire can get inside the TV, with devastating results. The damage will be slow and over time, so the TV will likely break down sooner than it otherwise would have, but well beyond its warranty period. Of course, this doesn't apply if you never use your fireplace.
Considering the above, it may be time to change the location of your TV if you want to use it for many more years, without problems.
