A vane arrangement for a gas turbine comprising a vane, a casing and a support member, the vane comprising an airfoil section configured to extend, when in use in a mounting arrangement in a vane stage in which plural vanes are aligned in a circumferential direction (Dc) that is a direction of a circumference of a rotor axis (Ar) of a rotor, in a radial direction (Dr) with respect to the rotor axis (Ar), and an outer shroud located on the radially outward side of the airfoil section and supported inside the casing by the vane support member, wherein the outer shroud comprises: a shroud body which extends in an axial direction (Da), that is a direction parallel to the rotor axis (Ar), and the circumferential direction (Dc); and a hook section which has a radial protrusion (61;44) provided on the radially outward side of the shroud body so as to protrude toward the radially outward side and so as to extend in the circumferential direction (Dc), and an engaging part protruding in the axial direction (Da) from the radial protrusion (61;44) and extending in the circumferential direction (Dc), wherein the hook section comprises a recessed part (50;60) recessed in the axial direction (Da) in at least a part of the circumference of the hook section, the hook section comprises a rear hook, arranged on the downstream side of the outer shroud in the axial direction (Da), the engaging part of which comprises a sealing surface which contacts the vane support member in the radial direction (Dr) along the circumference of the engaging part, the rear hook has a hook body which rises toward the radially outward side and a protrusion protruding toward the upstream side in the axial direction (Da), and a face directed toward the radially outward side of the hook body and a face directed toward the radially outward side of the protrusion form the unitary sealing surface which continues in the circumferential direction (Dc) and which contacts a radially inward face of the vane support member in the assembled state, wherein a rear engaging part of the vane support member that extends to the radially inward side of the protrusion is engaged with the rear hook and is located next to the upstream side of the rear hook and has a supporting section supporting the protrusion from the radially inward side, wherein the recessed part of the rear hook is formed by removing part of the sealing surface of the engaging part of the rear hook so that the recessed part extends from the upstream side of the protrusion to the hook body and is recessed to such an extent so as to not penetrate to the downstream side of the hook body in the axial direction (Da), so that the sealing surface is formed continuously in the circumferential direction (Dc) including a downstream part of the recessed part in the axial direction (Da) and contacts the vane support member in the radial direction (Dr) continuously along the entire circumference of the engaging part, and so that the sealing surface is not split by the recessed part in the circumferential direction (Dc). a shroud body which extends in an axial direction (Da), that is a direction parallel to the rotor axis (Ar), and the circumferential direction (Dc); and a hook section which has a radial protrusion (61;44) provided on the radially outward side of the shroud body so as to protrude toward the radially outward side and so as to extend in the circumferential direction (Dc), and an engaging part protruding in the axial direction (Da) from the radial protrusion (61;44) and extending in the circumferential direction (Dc), wherein the hook section comprises a recessed part (50;60) recessed in the axial direction (Da) in at least a part of the circumference of the hook section, the hook section comprises a rear hook, arranged on the downstream side of the outer shroud in the axial direction (Da), the engaging part of which comprises a sealing surface which contacts the vane support member in the radial direction (Dr) along the circumference of the engaging part, the rear hook has a hook body which rises toward the radially outward side and a protrusion protruding toward the upstream side in the axial direction (Da), and a face directed toward the radially outward side of the hook body and a face directed toward the radially outward side of the protrusion form the unitary sealing surface which continues in the circumferential direction (Dc) and which contacts a radially inward face of the vane support member in the assembled state, wherein a rear engaging part of the vane support member that extends to the radially inward side of the protrusion is engaged with the rear hook and is located next to the upstream side of the rear hook and has a supporting section supporting the protrusion from the radially inward side, wherein the recessed part of the rear hook is formed by removing part of the sealing surface of the engaging part of the rear hook so that the recessed part extends from the upstream side of the protrusion to the hook body and is recessed to such an extent so as to not penetrate to the downstream side of the hook body in the axial direction (Da), so that the sealing surface is formed continuously in the circumferential direction (Dc) including a downstream part of the recessed part in the axial direction (Da) and contacts the vane support member in the radial direction (Dr) continuously along the entire circumference of the engaging part, and so that the sealing surface is not split by the recessed part in the circumferential direction (Dc).