Admissible Complexes for the Projective X-ray Transform over a Finite Field

نویسندگان

  • DAVID V. FELDMAN
  • ERIC L. GRINBERG
چکیده

We consider the X-ray transform in a projective space over a finite field. It is well known (after E. Bolker) that this transform is injective. We formulate an analog of I.M. Gelfand’s admissibility problem for the Radon transform, which asks for a classification of all minimal sets of lines for which the restricted Radon transform is injective. The solution involves doubly ruled quadric surfaces.

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تاریخ انتشار 2017