Hey Scottyad, mouse and firmware are both up to date Drivers have been checked several times, the Logitech software has been deleted and reinstalled, and other mice have been tested as described above.
As far as I understood so far the problem is not the resolution (DPI = Dots Per Inch) but the transmission frequency. With gaming mice the frequency is 1000 signals per second or even more. If you reduce the signal frequency to 500 the error occurs less often. At 250 it disappears (as far as I can tell).
It should be clear to everyone, and especially to Microsoft, that with an Ultrabook in this price range this can only be a temporary solution. I bought this laptop only for the reason that it combines all the features I need.