Stage of a compressor (4; 6) of a turbomachine , in particular a low-pressure compressor of a turbomachine, the stage comprising: - a rotor support and an annular row of rotor blades extending radially outwardly from the rotor support , the rotor support defining a rotor connecting surface between two circumferentially adjacent rotor blades ; - a stator support and an annular row of stator blades extending radially outwardly from the stator support , the stator support defining a stator connecting surface between two circumferentially adjacent stator blades ; the annular row of stator blades being positioned directly downstream of the annular row of rotor blades ; the connecting surfaces each being provided with axisymmetric portions and non-axisymmetric portions , the latter comprising a bump and/or a hollow between two circumferentially adjacent blades , each bump having a top at a radial height (H60, H62) relative to the axisymmetric portion and each hollow having a bottom at a radial depth (P61, P63) relative to the axisymmetric portion , the stage comprising a rotor extremum (RE) corresponding to the greater of the absolute values of the radial height (H60) of the top and the radial depth (P61) of the bottom of the non-axisymmetric portions of the rotor connecting surface ; and the stage comprising a stator extremum (SE) corresponding to the greater of the absolute values of the radial height (H62) of the top and the radial depth (P63) of the bottom of the non-axisymmetric portions of the stator connection surface , the value of the stator extremum (SE) being approximately 40% to 60% of the value of the rotor extremum (RE) or the value of the rotor extremum (RE) being approximately 40% to 60% of the value of the stator extremum (SE), characterised in that the value of the rotor extremum (RE) is between 4 and 8% of the chord (CR) of the rotor blades . - a rotor support and an annular row of rotor blades extending radially outwardly from the rotor support , the rotor support defining a rotor connecting surface between two circumferentially adjacent rotor blades ; - a stator support and an annular row of stator blades extending radially outwardly from the stator support , the stator support defining a stator connecting surface between two circumferentially adjacent stator blades ; the annular row of stator blades being positioned directly downstream of the annular row of rotor blades ; the connecting surfaces each being provided with axisymmetric portions and non-axisymmetric portions , the latter comprising a bump and/or a hollow between two circumferentially adjacent blades , each bump having a top at a radial height (H60, H62) relative to the axisymmetric portion and each hollow having a bottom at a radial depth (P61, P63) relative to the axisymmetric portion , the stage comprising a rotor extremum (RE) corresponding to the greater of the absolute values of the radial height (H60) of the top and the radial depth (P61) of the bottom of the non-axisymmetric portions of the rotor connecting surface ; and the stage comprising a stator extremum (SE) corresponding to the greater of the absolute values of the radial height (H62) of the top and the radial depth (P63) of the bottom of the non-axisymmetric portions of the stator connection surface , the value of the stator extremum (SE) being approximately 40% to 60% of the value of the rotor extremum (RE) or the value of the rotor extremum (RE) being approximately 40% to 60% of the value of the stator extremum (SE), characterised in that the value of the rotor extremum (RE) is between 4 and 8% of the chord (CR) of the rotor blades . <EOS>