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http://hdl.handle.net/1942/22974
Title: | Noncommutative versions of some classical birational transformations | Authors: | PRESOTTO, Dennis VAN DEN BERGH, Michel |
Issue Date: | 2016 | Publisher: | EUROPEAN MATHEMATICAL SOC-EMS | Source: | Journal of Noncommutative Geometry, 10(1), p. 221-244 | Abstract: | In this paper we generalize some classical birational transformations to the noncommutative case. In particular we show that 3-dimensional quadratic Sklyanin algebras (noncommutative projective planes) and 3-dimensional cubic Sklyanin algebras (non-commutative quadrics) have the same function field. In the same veinwe construct an analogue of the Cremona transform for non-commutative projective planes. | Keywords: | Birational transformation;Cremona transform;Sklyanin algebras;non-commutative surfaces | Document URI: | http://hdl.handle.net/1942/22974 | Link to publication/dataset: | www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=10&iss=1&rank=6&srch=searchterm%7Cpresotto | ISSN: | 1661-6952 | e-ISSN: | 1661-6960 | DOI: | 10.4171/JNCG/232 | ISI #: | 000376334200006 | Rights: | European Mathematical Society | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2017 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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Noncommutative birational transformation.pdf | Peer-reviewed author version | 324.19 kB | Adobe PDF | View/Open |
8449.pdf Restricted Access | Published version | 346.38 kB | Adobe PDF | View/Open Request a copy |
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