Holomorphic Cartan geometries and Calabi--Yau manifolds

Benjamin McKay (University College Cork); Indranil Biswas (Tata Institute of Fundamental Research)

arxiv: 0812.3978 · v1 · pith:3O3UHUZ2new · submitted 2008-12-21 · 🧮 math.AG · math.DG

Holomorphic Cartan geometries and Calabi--Yau manifolds

Indranil Biswas (Tata Institute of Fundamental Research) , Benjamin McKay (University College Cork) This is my paper

classification 🧮 math.AG math.DG

keywords calabi--yaucartangeometriesholomorphicmanifoldsvariabelianbear

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We prove that the only Calabi--Yau projective manifolds which bear holomorphic Cartan geometries are precisely the abelian varieties. (Nous d\'emontrons que les seules vari\'et\'es projectives de Calabi--Yau qui poss\`edent des g\'eom\'etrie holomorphes de Cartan sont les vari\'et\'es ab\'eliennes.)

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Holomorphic Cartan geometries and Calabi--Yau manifolds

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