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http://hdl.handle.net/1942/14507| Title: | Non-commutative P-1-bundles over commutative schemes | Authors: | VAN DEN BERGH, Michel | Issue Date: | 2012 | Publisher: | AMER MATHEMATICAL SOC | Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 364 (12), p. 6279-6313 | Abstract: | In this paper we develop the theory of non-commutative P-1-bundles over commutative (smooth) schemes. Such non-commutative P-1-bundles occur in the theory of D-modules but our definition is more general. We can show that every non-commutative deformation of a Hirzebruch surface is given by a non-commutative P-1-bundle over P-1 in our sense. | Notes: | Van den Bergh, M (reprint author), Univ Hasselt, Dept Math, B-3590 Diepenbeek, Belgium. michel.vandenbergh@uhasselt.be | Keywords: | Mathematics; non-commutative geometry; Hirzebruch surfaces; deformations;Non-commutative geometry; Hirzebruch surfaces; deformations | Document URI: | http://hdl.handle.net/1942/14507 | ISSN: | 0002-9947 | e-ISSN: | 1088-6850 | DOI: | 10.1090/S0002-9947-2012-05469-9 | ISI #: | 000312113700005 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2014 |
| Appears in Collections: | Research publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Van den Bergh- noncommutative.pdf | Published version | 450.18 kB | Adobe PDF | View/Open |
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