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).

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

Last revised on September 18, 2012 at 12:56:38. See the history of this page for a list of all contributions to it.