  Important insights into the formation, structure, evolution and environment
of all types of stars can be obtained through the measurement of their winds
and possible magnetospheres. However, this has hardly been done up to now
mainly because of the lack of UV instrumentation available for long periods of
time. To reach this aim, we have designed UVMag, an M-size space mission
equipped with a high-resolution spectropolarimeter working in the UV and
visible spectral range. The UV domain is crucial in stellar physics as it is
very rich in atomic and molecular lines and contains most of the flux of hot
stars. Moreover, covering the UV and visible spectral domains at the same time
will allow us to study the star and its environment simultaneously. Adding
polarimetric power to the spectrograph will multiply tenfold the capabilities
of extracting information on stellar magnetospheres, winds, disks, and magnetic
fields. Examples of science objectives that can be reached with UVMag are
presented for pre-main sequence, main sequence and evolved stars. They will
cast new light onto stellar physics by addressing many exciting and important
questions. UVMag is currently undergoing a Research and Technology study and
will be proposed at the forthcoming ESA call for M-size missions. This
spectropolarimeter could also be installed on a large UV and visible
observatory (e.g. NASA's LUVOIR project) within a suite of instruments.
