The phrase "corrected edition" refers to a revised version of something that had mistakes or errors in a previous version. It means that those mistakes have been fixed in this new edition to make it accurate and error-free. Full definition
Thus, in order to protect them from the seductive Toryism of David Hume, Jefferson spent two decades promoting the publication of a censored, plagiarized, and falsified but politically correct edition of Hume's History of England. (educationnext.org)
Corrected edition edited by David Ray Griffin and Donald W. Sherbourne. (religion-online.org)