Belmans, P. and Raedschelders, T. (2020) Derived categories of noncommutative quadrics and Hilbert squares. International Mathematics Research Notices, 2020(19), pp. 6042-6069. (doi: 10.1093/imrn/rny192)
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Abstract
A noncommutative deformation of a quadric surface is usually described by a three-dimensional cubic Artin–Schelter regular algebra. In this paper we show that for such an algebra its bounded derived category embeds into the bounded derived category of a commutative deformation of the Hilbert scheme of two points on the quadric. This is the second example in support of a conjecture by Orlov. Based on this example we formulate an infinitesimal version of the conjecture and provide some evidence in the case of smooth projective surfaces.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Raedschelders, Mr Theo |
Authors: | Belmans, P., and Raedschelders, T. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | International Mathematics Research Notices |
Publisher: | Oxford University Press |
ISSN: | 1073-7928 |
ISSN (Online): | 1687-0247 |
Published Online: | 16 August 2018 |
Copyright Holders: | Copyright © 2018 The Authors |
First Published: | First published in International Mathematics Research Notices 2020(19): 6042-6069 |
Publisher Policy: | Reproduced under a Creative Commons License |
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