A propos de tomographie algébrique dans le cadre projectif ou torique

Alekos Vidras (1) , Alain Yger (2)

1 Department of Mathematics, University of Cyprus
2 IMB - Institut de Mathématiques de Bordeaux

We propose a notion of pluri-concavity (on a smooth n-domensional simplicial complete toric variety) which takes into account the fact that the (n-1)-Chow ring has rank strictly larger than 1. Abel-Radon transforms as well as Abel inverse theorem (in the spirit of P. Griffiths, G. Henkin and M. Passare) are also revisited, following ideas recently introduced by M. Weimann.

Domaines: Variables complexes [math.CV]

Alekos Vidras, Alain Yger. A propos de tomographie algébrique dans le cadre projectif ou torique. 2007. ⟨hal-00281757⟩