Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/8312
 Title: On the supports for cohomology classes of complex manifolds Authors: Portelli, Dario Keywords: cohomology class; support; complex manifold; differential relation Issue Date: 2012 Publisher: EUT Edizioni Università di Trieste Source: Dario Portelli, "Dedicated On the supports for cohomology classes of complex manifolds", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 349–369. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics44 (2012) Abstract: Let $X$ be a compact, connected complex manifold, and let$\xi\in H^{i}(X,{\mathbb Q} )$ be a non-trivial class. The paperdeals with the possibility to construct a topological cycle $\Gamma$ on $X,$ whoseclass is the Poincar\'e dual of $\xi\thinspace ,$ which is closely relatedin a precise sense to the complex structure of $X.$ The desired properties of $\Gamma$ allowto define a differentiable relation into a suitable space of $1$-jets.This relation shows that there is a preliminary topological obstruction toconstruct such a $\Gamma$.The main result of the paper is that, in a relevant particular case, thisobstruction disappears. Type: Article URI: http://hdl.handle.net/10077/8312 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)

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