Leica M10 Monochrom has a
41.0MP Full frame (36 x 24 mm ) sized Monochrome CMOS sensor and features Maestro II processor. On the other hand, Sony A7R III has a
42.0MP Full frame (35.9 x 24 mm ) sized BSI-CMOS sensor and features Bionz X processor.
One other difference between these two cameras that is worth mentioning is that Sony A7R III's sensor doesn't have an anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the M10 Monochrom and A7R III sensor size comparison.
Sensor Size and Resolution Comparison image of Leica M10 Monochrom and Sony A7R III Cameras
Leica M10 Monochrom and Sony A7R III have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Leica M10 Monochrom
or the
Sony A7R III ,
including hyperfocal distance.