Gunnm Kasei Senki

From Kodansha:
For centuries, war has raged on the dusty, red surface of Mars. This apocalyptic crucible will produce the solar system's most fearsome warrior, Alita. But for now, that warrior is just a little girl named Yoko. The future and past of the battle angel fan out across the reaches of space in the final chapter of one of the greatest sci-fi epics of all time.

Official Japanese:
Comic Days, Kodansha

Official English:
INKR, Kodansha,
Manga Planet, Omoi