Gunnm

This is the cyberpunk manga [Gunnm] by Yukito Kishiro. It's known as one of the three great cyberpunk manga from Japan, alongside Akira and Ghost in the Shell, and it's the original work for the live-action movie (Alita: Battle Angel) produced by James Cameron. The story begins in the futuristic sky city 'Scrapyard' and the 'Scrapheap' town below, where the lower class live by scavenging. Dr. Daisuke Ido, a cybernetics doctor, finds a cyborg girl with only her upper body remaining in a pile of trash, repairs her, and names her Gally. At critical moments, Gally unknowingly unleashes the ancient Martian martial art, the Panzer Kunst, defeating enemies and overcoming numerous crises as she uncovers her past. This is the main plot. Serialization began in 1990, with the first part being Gunnm: Original, followed by the second part, Gunnm: Last Order, the third part, Gunnm: Martian Memory, and currently, the fourth part, Gunnm: Gunnm Kōga-den, is being serialized.