Triangulated Categories of Mixed Motives

Base change theorems

In mathematics, the base change theorems relate the direct image and the pull-back of sheaves.

Relative cycle

In algebraic geometry, a relative cycle is a type of algebraic cycle on a scheme. In particular, let

Popescu's theorem

In commutative algebra and algebraic geometry, Popescu's theorem, introduced by Dorin Popescu, states: Let A be a Noetherian ring and B a Noetherian algebra over it.