  The next generation of the IceCube Neutrino Observatory, IceCube-Gen2, will
constitute a much larger detector, increasing the rate of high-energy
neutrinos. IceCube-Gen2 will address the long-standing questions about
astrophysical accelerators. The experiment will also include a surface
air-shower detector which will allow for measurements of cosmic rays in the
energy region where a transition between Galactic and extragalactic
accelerators is expected. As a baseline design for the surface detector, we
consider a surface array above the optical in-ice array consisting of the same
type of stations used for the IceTop enhancement, i.e., scintillation detectors
and radio antennas. In order to better understand the capabilities of such an
array, we performed simulations of its response to air showers, including both
detector types. We will show the results of this simulation study and discuss
the prospects for the surface array of IceCube-Gen2.
