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

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.

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Bibliographic Details
Published inMathematische Zeitschrift Vol. 294; no. 3-4; pp. 871 - 880
Main Authors Meachan, Ciaran, Mongardi, Giovanni, Yoshioka, Kōta
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020
Springer Nature B.V
Subjects
Equivalence
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-019-02281-1