Mass and Spin of GRS 1915 $+$ 105 Based on a Resonance Model of QPOs

We demonstrate that the four high-frequency QPOs observed in GRS 1915$+$105 can be interpreted as the oscillation modes on disks that non-linearly and resonantly interact with a warp. The warp is assumed to be a low-frequency global pattern on the disk. This identification suggests that the relevant mass, M, and spin parameter, a, are M=13 -- 14 \,M_ and a=0 -- 0.15.