Ski-jumps are a much bigger problem on hollow-bodies, because the fingerboard extension has much less support under the upper frets (where the neck isn't). As string tension pulls on the headstock, the guitar wants to fold in half right around the neck-body joint, causing the upper end of the fingerboard to effectively bend upwards. On your 1950s Martin, you'll need to take significant steps to remedy this.
On solid-bodies with bolt-on necks, the problem is either the neck has bent in the same way as above, or the frets/board were dressed with the truss rod incorrectly set (ie with the neck not straight). In the latter case, you can either dress some fallaway into the upper frets or do a full fret dress with the neck straight (make sure the FINGERBOARD is straight, not the fret tops, get that notched straightedge out).
If you have to shim a neck, you need to understand how much ramp or fallaway your frets have, when the neck is set with the correct relief. Depending on the truss rod location and neck shaping/stiffness, sometimes the truss rod doesn't have any effect (or much less effect) across the upper frets, so you get a flat spot at the heel followed by a curve through the main portion of the neck (as opposed to a nice uniform curve from nut right down to the second octave). In the right circumstances, when you lower your relief and action down to where they should be, the strings can contact the upper frets as they vibrate - you'll need to shim the neck forwards to lift the strings above the upper frets and give them room to swing. On that 50s Martin above, you'll likely need to reset ("shim") the neck backwards to account for the folding, then add some fallaway to the upper frets to account for the fingerboard going out of shape - so the same effective presentation requires opposite solutions.