Common base Colpitts circuit with a series resonant crystal in place of a base decoupling capacitor
L2 and C7 when resonate, presenting a very low impedance to ground
C6 and L2-C7 at resonant, will presented a high impedance to the signal path

 

Simulation of voltage output with assumption of 10 MHz crystal  characteristics

Ri = 7pF  Li= 9.8uH  Ci=7pF  Co=6.3pF

Same circuit  with  L2 shorted

 

with L2 open circuit

 

with L2, C6 and C7 completely removed out of circuit