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http://hdl.handle.net/1942/28567
Title: | Construction of non-commutative surfaces with exceptional collections of length 4 | Authors: | BELMANS, Pieter PRESOTTO, Dennis |
Issue Date: | 2018 | Publisher: | WILEY | Source: | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 98(1), p. 85-103 | Abstract: | Recently de Thanhoffer de Volcsey and Van den Bergh classified the Euler forms on a free abelian group of rank 4 having the properties of the Euler form of a smooth projective surface. There are two types of solutions: one corresponding to P1xP1 (and non-commutative quadrics), and an infinite family indexed by the natural numbers. For m=0,1 there are commutative and non-commutative surfaces having this Euler form, whilst for m2 there are no commutative surfaces. In this paper, we construct sheaves of maximal orders on surfaces having these Euler forms, giving a geometric construction for their numerical blowups. | Notes: | [Belmans, Pieter] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany. [Presotto, Dennis] Univ Hasselt, Agoralaan, B-3590 Diepenbeek, Belgium. | Keywords: | Mathematics | Document URI: | http://hdl.handle.net/1942/28567 | ISSN: | 0024-6107 | e-ISSN: | 1469-7750 | DOI: | 10.1112/jlms.12126 | ISI #: | 000440843600005 | Rights: | 2018 London Mathematical Society | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2019 |
Appears in Collections: | Research publications |
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Belmans_et_al-2018-Journal_of_the_London_Mathematical_Society.pdf Restricted Access | Published version | 392.46 kB | Adobe PDF | View/Open Request a copy |
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