We embed compact C-infinity manifolds into C-n as totally real manifolds with prescribed polynomial hulls. As a consequence, we show that any compact C( )(infinity)manifold of dimension d admits a totally real embedding into C-[3d/2] with non-trivial polynomial hull without complex structure.
Arosio, L., Wold, E.f. (2019). Totally real embeddings with prescribed polynomial hulls. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 68(2), 629-640 [10.1512/iumj.2019.68.7603].
Totally real embeddings with prescribed polynomial hulls
Arosio, Leandro;
2019-01-01
Abstract
We embed compact C-infinity manifolds into C-n as totally real manifolds with prescribed polynomial hulls. As a consequence, we show that any compact C( )(infinity)manifold of dimension d admits a totally real embedding into C-[3d/2] with non-trivial polynomial hull without complex structure.File in questo prodotto:
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