A regular scheme is an algebraic scheme such that for every there exists an affine open neighbourhood of such that the ring is regular (many authors also require Noetherian). Equivalently, stalk of the structure sheaf at any point (as a locally ringed space) is a regular local ring.
On pro-algebraic resolutions of regular schemes over algebraically complete fields:
Last revised on June 26, 2023 at 15:57:22. See the history of this page for a list of all contributions to it.