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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.40 (2008) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/3338
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| 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 |
| Citation: | 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 |
| URI: | http://hdl.handle.net/10077/3338 |
| ISSN: | 00494704 |
| MS Classification 2000: | 58G30 53C55 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.40 (2008)
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