And Emmanuelle Gagliardi of Switzerland overpowered Klara Koukalova of the Czech Republic 6-4 6-2.
Polanski's wife, French actress Emmanuelle Seigner, said she was overjoyed at the decision.
Ed Lyon, Anna Reinhold, and Emmanuelle de Negri led a generally impeccable cast.
In Michael Haneke's "Amour, " we watch Emmanuelle Riva slowly dying, slipping into immobility, incoherence and unconsciousness as she suffers.
The best actress prize was shared between Amour's Emmanuelle Riva , 85, and Silver Linings Playbook actress Jennifer Lawrence, 22.
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Elsewhere, eighth seed Anastasia Myskina lost the first set but fought back to beat Swiss player Emmanuelle Gagliardi 5-7 6-2 6-0.
Why would Emmanuelle, whose erotic adventures taught a generation the elusive art of sensual love, return from space to counsel freshman congressmen?
He is being held in Zurich, where he has been allowed to meet his wife, French actress Emmanuelle Seigner, as well as lawyers.
Emmanuelle Riva - recipient of one of Amour's five Oscar nods - will be up for best actress at next month's Cesar ceremony.
His wife, the actress and singer Emmanuelle Seigner, did not mention her husband during her hour-long performance, and Polanski did not appear on stage.
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The film is up for best film and best director while its stars, Jean-Louis Trintignant and Emmanuelle Riva, are up for best actor and best actress.
The other nominees rounding out the category are Emmanuelle Riva for Amour, Quvenzhane Wallis for Beasts of the Southern Wild, and Naomi Watts for The Impossible.
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The film stars octogenarian French acting greats Emmanuelle Riva and Jean-Louis Trintignant as a loving Parisian couple whose world is devastated by the wife's serious illness.
The film, which tells of an elderly French couple dealing with infirmity and dementia, also receives acting citations for its octogenarian stars Jean-Louis Trintignant and Emmanuelle Riva.
Michael Haneke's keenly observed love story is also up for best picture, best direction, best actress in a leading role (for 85 year-old Emmanuelle Riva) and best original screenplay.
Sally Field in classic red Valentino, Jane Fonda in bright yellow Versace and Emmanuelle Riva in a teal gown that recalled society grande dames all looked regal in their fashion choices.
Far from being claustrophobic, it is a place where happiness has taken root and bloomed: a placid Parisian apartment, lined with bookshelves, and inhabited by Georges (Jean-Louis Trintignant) and his wife, Anne (Emmanuelle Riva).
In 1989, Polanski married French actress Emmanuelle Seigner.
The lead actress category sees Amour's Emmanuelle Riva - who plays a retired music teacher in Paris who suffers a stroke - up against Marion Cotillard's killer-whale trainer who suffers a catastrophic accident in Rust and Bone.
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Built in 124 A.D. as a temple to all the gods of Rome, the Pantheon remains today as a Catholic church and a tomb for Italian luminaries, such as the artist Raphael and King Vittorio Emmanuelle II.
The setting is a comfortable Parisian apartment, probably stylish in its day but showing its age, where Georges and Anne, a husband and wife played by Jean-Louis Trintignant and Emmanuelle Riva, share a life of quiet pleasures and comforting routines.
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