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

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

2007-05-02

arxiv.org/abs/0705.0247v2

Mathematics

Complex Variables

27 pages. New version (modified introduction)

Scientific paper

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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