Stage (34, 134) 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 (24A, 24B); - 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 (25A, 25B); the annular row of stator blades being positioned directly downstream of the annular row of rotor blades; the connecting surfaces (48, 49) each being provided with axisymmetric portions (50, 51) and non-axisymmetric portions (52, 53), the latter (52, 53) comprising a bump (54, 56, 154, 156) and/or a hollow (55, 57, 155) between two circumferentially adjacent blades (24A, 24B, 25A, 25B), each bump (54, 56) having a top (60, 62) at a radial height (H60, H62) relative to the axisymmetric portion (50, 51) and each hollow (55, 57) having a bottom (61, 63) at a radial depth (P61, P63) relative to the axisymmetric portion (50, 51), the stage comprising a rotor extremum corresponding to the greater of the absolute values of the radial height of the top and the radial depth of the bottom of the non-axisymmetric portions of the rotor connecting surface; and the stage comprising a stator extremum corresponding to the greater of the absolute values of the radial height of the top and the radial depth of the bottom of the non-axisymmetric portions of the stator connection surface, the value of the stator extremum being approximately 40% to 60% of the value of the rotor extremum or the value of the rotor extremum being approximately 40% to 60% of the value of the stator extremum, characterised in that the value of the rotor extremum is between 4 and 8% of the chord 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 (24A, 24B); - 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 (25A, 25B); the annular row of stator blades being positioned directly downstream of the annular row of rotor blades; the connecting surfaces (48, 49) each being provided with axisymmetric portions (50, 51) and non-axisymmetric portions (52, 53), the latter (52, 53) comprising a bump (54, 56, 154, 156) and/or a hollow (55, 57, 155) between two circumferentially adjacent blades (24A, 24B, 25A, 25B), each bump (54, 56) having a top (60, 62) at a radial height (H60, H62) relative to the axisymmetric portion (50, 51) and each hollow (55, 57) having a bottom (61, 63) at a radial depth (P61, P63) relative to the axisymmetric portion (50, 51), the stage comprising a rotor extremum corresponding to the greater of the absolute values of the radial height of the top and the radial depth of the bottom of the non-axisymmetric portions of the rotor connecting surface; and the stage comprising a stator extremum corresponding to the greater of the absolute values of the radial height of the top and the radial depth of the bottom of the non-axisymmetric portions of the stator connection surface, the value of the stator extremum being approximately 40% to 60% of the value of the rotor extremum or the value of the rotor extremum being approximately 40% to 60% of the value of the stator extremum, characterised in that the value of the rotor extremum is between 4 and 8% of the chord of the rotor blades.