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Derived noncommutative schemes, geometric realizations, and finite dimensional algebras

Derived noncommutative schemes, geometric realizations, and finite dimensional algebras

The main purpose of this paper is to describe various phenomena and certain constructions arising in the process of studying derived noncommutative schemes.Derived noncommutative schemes are defined as differential graded categories of a special type.We review and discuss different properties of both noncommutative schemes and morphisms between them.In addition, the …