A material comprising a transparent substrate coated on one face with a stack of thin layers successively comprising, starting from said face, an alternation: - of three silver-based functional metal layers denoted, starting from the substrate, first functional layer Ag1, second functional layer Ag2 and third functional layer Ag3, with physical thicknesses respectively Ea1, Ea2 and Ea3, and - of four dielectric coatings denoted, starting from said face of the substrate, M1, M2, M3 and M4, with optical thicknesses respectively Eo1, Eo2, Eo3 and Eo4, each dielectric coating comprising a dielectric layer or a dielectric assembly of layers, so that each functional metal layer is positioned between two dielectric coatings, said material being characterized in that: - absorbent material is present between said first functional layer Ag1 and said second functional layer Ag2, in a total thickness Abs2 such that 1.0 ≤ Abs2 ≤ 5.0 nm and/or absorbent material is present between said second functional layer Ag2 and said third functional layer Ag3, in a total thickness Abs3 such that 1.0 ≤ Abs3 ≤ 5.0 nm; - absorbent material is present between said face of the substrate and said first functional layer Ag1 in a total thickness Abs1 such that 0.0 < Abs1 ≤ 0.5 nm and absorbent material is present above said third functional layer Ag3, in a total thickness Abs4 such that 0.0 < Abs4 ≤ 0.5 nm. - of three silver-based functional metal layers denoted, starting from the substrate, first functional layer Ag1, second functional layer Ag2 and third functional layer Ag3, with physical thicknesses respectively Ea1, Ea2 and Ea3, and - of four dielectric coatings denoted, starting from said face of the substrate, M1, M2, M3 and M4, with optical thicknesses respectively Eo1, Eo2, Eo3 and Eo4, each dielectric coating comprising a dielectric layer or a dielectric assembly of layers, so that each functional metal layer is positioned between two dielectric coatings, said material being characterized in that: - absorbent material is present between said first functional layer Ag1 and said second functional layer Ag2, in a total thickness Abs2 such that 1.0 ≤ Abs2 ≤ 5.0 nm and/or absorbent material is present between said second functional layer Ag2 and said third functional layer Ag3, in a total thickness Abs3 such that 1.0 ≤ Abs3 ≤ 5.0 nm; - absorbent material is present between said face of the substrate and said first functional layer Ag1 in a total thickness Abs1 such that 0.0 < Abs1 ≤ 0.5 nm and absorbent material is present above said third functional layer Ag3, in a total thickness Abs4 such that 0.0 < Abs4 ≤ 0.5 nm. so that each functional metal layer is positioned between two dielectric coatings, said material being characterized in that: - absorbent material is present between said first functional layer Ag1 and said second functional layer Ag2, in a total thickness Abs2 such that 1.0 ≤ Abs2 ≤ 5.0 nm and/or absorbent material is present between said second functional layer Ag2 and said third functional layer Ag3, in a total thickness Abs3 such that 1.0 ≤ Abs3 ≤ 5.0 nm; - absorbent material is present between said face of the substrate and said first functional layer Ag1 in a total thickness Abs1 such that 0.0 < Abs1 ≤ 0.5 nm and absorbent material is present above said third functional layer Ag3, in a total thickness Abs4 such that 0.0 < Abs4 ≤ 0.5 nm. - absorbent material is present between said first functional layer Ag1 and said second functional layer Ag2, in a total thickness Abs2 such that 1.0 ≤ Abs2 ≤ 5.0 nm and/or absorbent material is present between said second functional layer Ag2 and said third functional layer Ag3, in a total thickness Abs3 such that 1.0 ≤ Abs3 ≤ 5.0 nm; - absorbent material is present between said face of the substrate and said first functional layer Ag1 in a total thickness Abs1 such that 0.0 < Abs1 ≤ 0.5 nm and absorbent material is present above said third functional layer Ag3, in a total thickness Abs4 such that 0.0 < Abs4 ≤ 0.5 nm.