Sorry, have only just seen this! A bit late, but could still help in the future;
It's a personal decision what to do... if you'd like to try and rear them you can either remove adults and other fish from the tank they've been laid in (easiest if you're using a smaller breeding tank) and leave the eggs there to hatch, and raise the fry in that tank. Or you can gently collect the eggs by rolling them off the glass with a finger or credit card (I hold a fine net beneath the eggs when I do this now, to catch any that fall or don't stick well enough to my finger), transfer them to another container, and try to improve the hatch rate by rearing them yourself.
If you go this route, it's important to use the cycled water from the parent/breeding tank, maintained at the same temperature, so a lot of people float or attach the egg container inside the parent tank to make that easier. I jerry rigged this inelegant contraption when my bronzes spawned unexpectedly;
While not the prettiest, it worked!
Air flow is important for egg health and to discourage fungal growth, so add an airstone. Alder cones or methylene blue can be used to try to prevent fungus too. Any eggs that do turn fungused need to be removed so it doesn't spread to other eggs.
Can send you links to articles by experts about how to raise wrigglers and fry once the eggs hatch if you'd like. Look for info by Ian Fuller, since he's a world famous corydoras expert, and created CorydorasWorld.
The great news is that even if these eggs didn't make it, once they've spawned once, they're likely to do it again! So you can be prepared for the next batch, and there are tips and tricks to help induce spawning if you'd like to produce some fry! mainly to condition the adults well with lots of good food like live and frozen insects, then replicate their spawning season in the wild by doing some large water changes with water that's 2-3 degrees cooler than the tank temp. They spawn in the rainy season, so this usually does the trick.
Please update with what happened with these eggs!