An apparatus for laser treatment of a human eye, comprising: a source of pulsed laser radiation; a control device configured to control a focus of the laser radiation in space and time to generate an incision figure that defines: a corneal flap connected to adjoining corneal tissue in a hinge region and having a flap underside parted-off from adjoining corneal tissue by a bed incision; a first auxiliary channel extending from the hinge region to an outer surface of the eye and adapted to remove gases that develop during the generation of the bed incision; and a second auxiliary channel extending along an edge of the bed incision, wherein the second auxiliary channel is connected to the first auxiliary channel and extends beyond the hinge region, wherein the control device is configured to generate the second auxiliary channel prior to the bed incision; and wherein the control device is further configured: to generate the bed incision through movement of the focus along a plurality of mutually parallel, rectilinear scan lines, wherein line directions of the scan lines extend transversely with respect to an imaginary hinge axis of the hinge region; and to cause, for a first group of scan lines, a progression of the focus from a scan line to a respectively next scan line of the first group in a first direction and, for a second group of scan lines, a progression of the focus from a scan line to a respectively next scan line of the second group in a direction opposite to the first direction. a source of pulsed laser radiation; a control device configured to control a focus of the laser radiation in space and time to generate an incision figure that defines: a corneal flap connected to adjoining corneal tissue in a hinge region and having a flap underside parted-off from adjoining corneal tissue by a bed incision; a first auxiliary channel extending from the hinge region to an outer surface of the eye and adapted to remove gases that develop during the generation of the bed incision; and a second auxiliary channel extending along an edge of the bed incision, wherein the second auxiliary channel is connected to the first auxiliary channel and extends beyond the hinge region, wherein the control device is configured to generate the second auxiliary channel prior to the bed incision; and wherein the control device is further configured: a corneal flap connected to adjoining corneal tissue in a hinge region and having a flap underside parted-off from adjoining corneal tissue by a bed incision; a first auxiliary channel extending from the hinge region to an outer surface of the eye and adapted to remove gases that develop during the generation of the bed incision; and a second auxiliary channel extending along an edge of the bed incision, wherein the second auxiliary channel is connected to the first auxiliary channel and extends beyond the hinge region, wherein the control device is configured to generate the second auxiliary channel prior to the bed incision; and wherein the control device is further configured: to generate the bed incision through movement of the focus along a plurality of mutually parallel, rectilinear scan lines, wherein line directions of the scan lines extend transversely with respect to an imaginary hinge axis of the hinge region; and to cause, for a first group of scan lines, a progression of the focus from a scan line to a respectively next scan line of the first group in a first direction and, for a second group of scan lines, a progression of the focus from a scan line to a respectively next scan line of the second group in a direction opposite to the first direction.