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 Mathematics 44 (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 paper deals with the possibility to construct a topological cycle $\Gamma$ on $X,$ whose class is the Poincar\'e dual of $\xi\thinspace ,$ which is closely related in a precise sense to the complex structure of $X.$ The desired properties of $\Gamma$ allow to define a differentiable relation into a suitable space of $1$-jets. This relation shows that there is a preliminary topological obstruction to construct such a $\Gamma$. The main result of the paper is that, in a relevant particular case, this obstruction 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) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Portelli_RIMUT44.pdf | 294.05 kB | Adobe PDF | ![]() View/Open |
CORE Recommender
Page view(s) 50
766
checked on Feb 6, 2023
Download(s) 50
513
checked on Feb 6, 2023
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.