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arxiv: 0705.0247 · v2 · submitted 2007-05-02 · 🧮 math.CV · math.AG

Concavity, Abel-transform and the Abel-inverse theorem in smooth complete toric varieties

classification 🧮 math.CV math.AG
keywords toricabel-inversecompleteconcavitysmooththeoremabel-radonabel-transform
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We extend the usual projective Abel-Radon transform to the larger context of a smooth complete toric variety X. We define and study toric concavity attached to an algebraic splitting vector bundle on X and we prove a toric version of the Abel-inverse theorem.

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