  A precise determination of absolute luminosity, using the bremsstrahlung
process, at the future Electron-Ion Collider (EIC) will be very demanding, and
its three major challenges are discussed herein. First, the bremsstrahlung rate
suppression due to the so-called beam size effect has to be well controlled.
Secondly, the impact of huge synchrotron radiation fluxes should be mitigated.
Thirdly, enormous bremsstrahlung event rates, in excess of 10 GHz, have to be
coped with. A basic layout of the luminosity measurement setup at the EIC,
addressing these issues, is proposed, including preliminary detector technology
choices. Finally, the uncertainties of three proposed methods are also
discussed.
