The concept of fast ignition of precompressed pellets for inertial
confinement fusion is presented and the main approaches are discussed.
Numerical simulations of fast coronal ignition and the peculiarities of
this scheme are considered in detail. Particular attention is devoted
to the energy transport in the pellet corona. It is shown that fast
coronal ignition will be successful only if the energy deposition by
the fast electrons is anomalous over a sufficiently extended overdense
region. Alternative schemes are briefly discussed.