Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn

Details Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn

2010-12-20

arxiv.org/abs/1012.4438v2

Mathematics

Complex Variables

Scientific paper

We show that the complex Radon transform realizes an isomorphism between the
space of residual $\bar\partial$-cohomologies of a locally complete
intersection subvariety in a linearly concave domain of ${\C}P^n$ and the space
of holomorphic solutions of the associated homogeneous system of differential
equations withconstant coefficients in the dual domain in $({\C}P^n)^*$.

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