Thin glass elements with improved edge strength are provided—from a sheet glass element that has two opposite parallel faces and an edge connecting the faces. The sheet glass element has a thickness of at most 700 μm. At least a portion of the edge is defined by an edge surface portion that is convexly curved, so that at least one of the faces merges into the edge surface portion, wherein a curved arc of the edge surface portion has a length that is at least 1/30 of the thickness of the sheet glass element. In the region of the convex curvature, the edge surface portion has indentations in the form of furrows.