It's a variation on Colpitts. The capacitors couple emitter back to base, with the collector as a tap; or some relative grounding variation upon that (you can take a basic oscillator and ground any node you like, supplying bias to the rest with chokes as needed; this generates half the named oscillator configurations right there).
The bottom transistor acts as a choke, but a better one (it has a high impedance all the way to DC -- a current sink), but also a worse one (it has a few pF collector output capacitance, which will load the oscillator a bit). This varies the amplitude and/or bias (and therefore frequency) of the oscillator, in a rather inconsistent and nonlinear way, but it will technically do what's claimed.
Tim