Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational

Meachan, C., Mongardi, G. and Yoshioka, K. (2020) Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational. Mathematische Zeitschrift, 294, pp. 871-880. (doi: 10.1007/s00209-019-02281-1)

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Abstract

We provide a criterion for when Hilbert schemes of points on K3 surfaces are birational. In particular, this allows us to generate a plethora of examples of non-birational Hilbert schemes which are derived equivalent.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Meachan, Dr Ciaran
Authors: Meachan, C., Mongardi, G., and Yoshioka, K.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematische Zeitschrift
Publisher:Springer
ISSN:0025-5874
ISSN (Online):1432-1823
Published Online:02 April 2019
Copyright Holders:Copyright © 2019 The Authors
First Published:First published in Mathematische Zeitschrift 294:871-880
Publisher Policy:Reproduced under a Creative Commons License

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