Nikolai Durov constructed spectra of commutative finitary monads (cf. commutative algebraic theory) which he calls **generalized** commutative rings; using a class of categorically defined localizations? (which for some reason he calls pseudolocalizations), he glues such spectra to obtain **generalized schemes** which are a class of generalized ringed space?s.

There are many other generalizations of schemes in the literature.

- Nikolai Durov,
*A new approach to Arakelov geometry*, arXiv:0704.2030 - Stella Anevski,
*Algebraic K-theory of generalized schemes*, PhD thesis, 2013 pdf

category: algebraic geometry

Last revised on July 31, 2023 at 13:15:29. See the history of this page for a list of all contributions to it.