Oppenheimer has led the Oscar nomination list with 13, while Barbie has eight, although its leading actress Margot Robbie has missed out.
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Oppenheimer, which is about the US development of the atom bomb in the Second World War, was nominated for Best Picture, along with a Best Actor nod for Cillian Murphy.
Other nominations included Christopher Nolan for Best Director, Robert Downey, Jr. for Best Supporting Actor, and Emily Blunt for Best Supporting Actress.
Box office rival Barbie got eight nominations, including Best Picture and Best Original Song. But lead actress Robbie was denied a nomination, to the surprise of some onlookers. Greta Gerwig was also overlooked in the directing nominations.
Elsewhere, Martin Scorsese received his tenth nomination for Best Director for Killers of the Flower Moon.
Christopher Nolan has been nominated for Best Director for Oppenheimer.
Picture:
Alamy
Other acting nominees include Emma Stone and Mark Ruffalo for drama Poor Things, Ryan Gosling for Barbie, and Robert de Niro for Killers of the Flower Moon.
Maestro, the biopic about Leonard Bernstein, was nominated for Best Picture, and also scooped Best Actor and Best Actress nominations for stars Bradley Cooper and Carey Mulligan.
Barbie received eight nominations, although Margot Robbie and Greta Gerwig were snubbed.
Picture:
Alamy
See the nominations in selected categories below. The full list is here.
Best Picture
American Fiction
Anatomy of a Fall
Barbie
The Holdovers
Killers of the Flower Moon
Maestro
Oppenheimer
Past Lives
Poor Things
The Zone of Interest
Martin Scorsese has been nominated for Best Director.
Picture:
Alamy
Best Director
Justine Triet - Anatomy of a Fall
Martin Scorsese - Killers of the Flower Moon
Christopher Nolan - Oppenheimer
Yorgos Lanthimos - Poor Things
Jonathan Glazer - The Zone of Interest
Carey Mulligan and Bradley Cooper have been nominated for their performances in Maestro.
Picture:
Alamy