Method for manufacturing a non-volatile memory comprising at least one array of memory cells on a substrate of a semiconductor material, the memory cells being self-aligned to and separated from each other by STI structures, the memory cells comprising a floating gate having an inverted-T shape in a cross section along the array of memory cells, wherein the inverted T shape is formed by oxidizing an upper part of the sidewalls of the floating gates thereby forming sacrificial oxide, and subsequently removing the sacrificial oxide simultaneously with further etching back the STI structures.