Structures de contact sur les variétés toriques

Mathematics – Algebraic Geometry

Scientific paper

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French, 6 pages

Scientific paper

Nous montrons que les seules vari\'et\'es toriques munies d'une structure de
contact sont, \`a isomorphisme pr\`es, les espaces projectifs complexes et les
vari\'et\'es $\mathbb{P}_{\mathbb{P}^{1}\times\cdots\times\mathbb{P}^{1}}
(\mathcal{T}_{\mathbb{P}^{1}\times\cdots\times\mathbb{P}^{1}})$.

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