Basagran / bentazon is one of the earlier methods. Sedge hammer / sedge max is a bit newer way to handle it.
2,4 D and gly will hit it really hard, but kill everything else pretty much.
Sedge will be a continuous fight. Whacking it with gly sets is back annually. Lightly discing the roots and letting it dry sets it back too. Sedge specific herbicides are designed to not harm grasses.
Sedge is also a warmer season plant, so if you whack it it'll stay in background till next year.
A good fight would be to spray, then lightly disc when you can dry out the root tubers, then spray again and plant.
IF the ground is seasonably too wet, it can kill the myochorizmo bacteria. mayo chorizo is how it's pronounced in mexico... Basically that is why sedge thrives, because it can live without it.