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http://hdl.handle.net/10077/3338| Title: | Almost PSH Functions on Calabi’s Bundles | Authors: | Abdesselem, Adnène Ben Cherrier, Pascal |
Keywords: | Fano manifolds; Admissible Kähler Metrics,; First Chern Class | Issue Date: | 2009 | Publisher: | EUT - Edizioni Università di Trieste | Source: | Abdesselem Adnène Ben, Cherrier Pascal, "Almost PSH Functions on Calabi’s Bundles", in Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 40 (2008), pp. 139-163. | Series/Report no.: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics 40 (2008) |
Abstract: | We give an explicit lower bound for almost psh functions on some Fano manifolds. These manifolds generalize those introduced by Calabi in [5], and also provide a generalization of the concept of the blowing-up of $\mathbb P_m\mathbb C$ at one point. To this end, we use a method introduced in [4], which consists of studying the behavior of psh functions along some well-chosen holomorphic curves. |
Description: | pp.139-163 |
Type: | Article | URI: | http://hdl.handle.net/10077/3338 | ISSN: | 00494704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.40 (2008) |
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|---|---|---|---|---|
| 08Abdesselem_Cherrier.pdf | 183.76 kB | Adobe PDF |  View/Open |
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