Disclosed is a component with a component section and a flange that is arranged at the component section for connection of the component another element. Arranged at the flange is one or a plurality of oblique flange channels, that is, channels for respectively accommodating a section of a connection element that runs obliquely to a surface portion of the component section that lies opposite to the flange. Further disclosed is a flange connection with at least one component of this kind, another component, and at least one connection element. Disclosed, in addition, is a turbomachine with a housing that is assembled from two or more components by means of such a flange connection.