The number of functions defining interpolating varieties
Oh'uchi, Shigeki
Kodai Math. J., Tome 24 (2001) no. 1, p. 66-75 / Harvested from Project Euclid
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In this paper, we prove that if a disjoint union of a countable number of complex affine subspaces is interpolating for the Hörmander algebra, then it can be written as the common zero set of {$\alpha$} + 1 functions in the Hörmander algebra, where {$\alpha$} is the maximum number of codimensions of the complex affine subspaces. Finally, we prove with an example in one complex variable that the number {$\alpha$} + 1 is lowest.
Publié le : 2001-05-14
Classification:  32E30 
@article{1106157296,
     author = {Oh'uchi, Shigeki},
     title = {The number of functions defining interpolating varieties},
     journal = {Kodai Math. J.},
     volume = {24},
     number = {1},
     year = {2001},
     pages = { 66-75},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1106157296}
}

Oh'uchi, Shigeki. The number of functions defining interpolating varieties. Kodai Math. J., Tome 24 (2001) no. 1, pp.  66-75. http://gdmltest.u-ga.fr/item/1106157296/