The adhesive tape comprises left and right boundary edges (l k, r k), a main carrier, and a first layer of self-adhesive on an obverse of the main carrier. The reverse of the main carrier bears parting systems (TS), which are suitable for causing an adhesive bond to a substrate that is parted again in such a way that sticky residues are left on the reverse of the main carrier or on the substrate in the region of the parted bond. The parting system is constructed in the form of a multiply interrupted stripe comprising segments that extend in the longitudinal direction of the adhesive tape. The adhesive tape comprises left and right boundary edges (l k, r k), a main carrier, and a first layer of self-adhesive on an obverse of the main carrier. The reverse of the main carrier bears parting systems (TS), which are suitable for causing an adhesive bond to a substrate that is parted again in such a way that sticky residues are left on the reverse of the main carrier or on the substrate in the region of the parted bond. The parting system is constructed in the form of a multiply interrupted stripe comprising segments that extend in the longitudinal direction of the adhesive tape (x direction). The boundary edge of each segment is represented by a line that, in relation to a right-handed Cartesian (orthogonal) coordinate system with an x-axis lying in the longitudinal direction of the adhesive tape and a y-axis standing perpendicular to the x-axis and pointing from left to right, meets the following conditions: a point lying furthest right E 1(x 1/Y m a x) (extreme) or a region B 1(extreme region), which encompasses points lying furthest right and bounded by the points E 1 a(x 1 a/Y m a x) and E 1 b(x 1 b/Y m a x), where X 1 aless than X 1 b; a point E 2(x m i n/Y 2) lying least far in the x direction or a region B 2, which encompasses points lying least far in the x direction and bounded by the points E 2 a(X m i n/Y 2 a) and E 2 b(X m i n/Y 2 b), where Y 2 aless than Y 2 b; a point E 3(X m a x/Y 3) lying furthest in the x direction or a region B 3, which encompasses points lying furthest in the x direction and bounded by the points E 3 a(X m a x/Y 3 a) and E 3 b(X m a x/Y 3 b), where Y 3 aless than Y 3 b; a rising line section (F s), which is bounded by the points E 2or E 2 band E 1or E 1 a; and a falling line section (F f), which is bounded by the points E 1or E 1 band E 3or E 3 b. The steepness in the rising line section is lower than the steepness in the falling line section. The extent of the individual segments in the x direction is lower by a multiple than the extent of the adhesive tape in the x direction. The extent of the stripe formed by the segments in the transverse direction of the adhesive tape (y direction) is lower than the extent of the adhesive tape in that direction or is lower than the width of the adhesive tape. The stripe constitutes a sequence of identical segments and identical distances between the segments. The segments are arranged one after another in the x direction. The segments comprise a further carrier (two-dimensionally splittable or delaminable segment carrier), which is provided on each of its obverse and its reverse with a layer of adhesive. The segment carrier is a single-ply paper, an assembly of layers, an assembly of two film layers, or an assembly of a paper layer or a film layer. The segments comprise a polymer compound, which effects the adhesive bond. The polymer is applied to the reverse of the adhesive tape by printing or gravure printing. The segment boundary line in the course of the vertex lying least far in the x direction and/or in the course of the vertex lying furthest in the x direction is differentiated mathematically. The parting systems on the adhesive tape reverse have different geometries. An independent claim is included for a method of joining two flat webs during the flying splice of flat-web material wound up to form rolls.