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Title: | Vector Bundles on Products of Projective Spaces and Hyperquadrics | Authors: | Ballico, Edoardo Malaspina, Francesco |
Keywords: | n-blocks collections; vector bundles; Castelnuovo-Mumford regularity | Issue Date: | 2009 | Publisher: | EUT Edizioni Università di Trieste | Source: | Edoardo Ballico, Francesco Malaspina, "Vector Bundles on Products of Projective Spaces and Hyperquadrics”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 41 (2009), pp. 13–26. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 41 (2009) |
Abstract: | Here we consider the space $\mathbf P^{n_1}\times\dots \times\mathbf P^{n_s}\times Q_{m_1}\times\dots \times\mathbf Q_{m_q}$. We introduce a notion of Castelnuovo-Mumford regularity in order to prove two splitting criteria for vector bundles with arbitrary rank. |
Type: | Article | URI: | http://hdl.handle.net/10077/4005 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.41 (2009) |
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