Beilinson regulator
In mathematics, especially in algebraic geometry, the Beilinson regulator is the Chern class map from algebraic K-theory to Deligne cohomology:
Here, X is a complex smooth projective variety, for example. It is named after Alexander Beilinson. The Beilinson regulator features in Beilinson's conjecture on special values of L-functions.
The Dirichlet regulator map for the ring of integers of a number field F
is a particular case of the Beilinson regulator. Up to a factor 2, the Beilinson regulator is also generalization of the Borel regulator.
