nLab Beilinson monad

Idea

A monad in the sense of Beilinson is a chain complex whose chain homology is concentrated in degree 0. (For instance p. 21 here). In other words, it is a certain Eilenberg-MacLane object in the context of homological algebra.

(This is unrelated to other notions of monads).

References

• David Eisenbud, Frank-Olaf Schreyer, Relative Beilinson Monad and Direct Image for Families of Coherent Sheaves (arXiv:math/0506391)