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EnglishIn another paper, following an idea of R. Harvey and H. B. J. Lawson for the 1-dimensional case, the authors gave a characterization of p-K¨ahler and p-symplectic manifolds in terms of the space of positive currents which are boundaries. The proof of this theorem is based on an application of the Hahn- Banach theorem, for which they need a closure property which is trivial in the case p = 1 but requires a result which states the finite dimensionality of certain cohomology groups for p > 1; this can be obtained from a particular resolution of the sheaf of germs of real pluriharmonic functions. In this paper the authors exhibit this resolution, obtaining the required proposition. A similar resolution was considered by B. Bigolin.
A Resolution of the sheaf of Germs of Real Pluriharmonic Functions / L. Alessandrini; M. Andreatta. - 92(1986), pp. 6-13. ((Intervento presentato al convegno Conference on Algebraic Geometry tenutosi a Berlin nel November 13-19, 1985.
| Titolo: | A Resolution of the sheaf of Germs of Real Pluriharmonic Functions | |
| Autori: | ||
| Data di pubblicazione: | 1986 | |
| Citazione: | A Resolution of the sheaf of Germs of Real Pluriharmonic Functions / L. Alessandrini; M. Andreatta. - 92(1986), pp. 6-13. ((Intervento presentato al convegno Conference on Algebraic Geometry tenutosi a Berlin nel November 13-19, 1985. | |
| Abstract: | In another paper, following an idea of R. Harvey and H. B. J. Lawson for the 1-dimensional case, the authors gave a characterization of p-K¨ahler and p-symplectic manifolds in terms of the space of positive currents which are boundaries. The proof of this theorem is based on an application of the Hahn- Banach theorem, for which they need a closure property which is trivial in the case p = 1 but requires a result which states the finite dimensionality of certain cohomology groups for p > 1; this can be obtained from a particular resolution of the sheaf of germs of real pluriharmonic functions. In this paper the authors exhibit this resolution, obtaining the required proposition. A similar resolution was considered by B. Bigolin. | |
| Handle: | http://hdl.handle.net/11381/2429638 | |
| ISBN: | 3322004163 | |
| Appare nelle tipologie: | 4.1b Atto convegno Volume |
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