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

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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Bibliographische Detailangaben
Veröffentlicht in:Mathematische Zeitschrift 2020-04, Vol.294 (3-4), p.871-880
Hauptverfasser: Meachan, Ciaran, Mongardi, Giovanni, Yoshioka, Kōta
Format: Artikel
Sprache:eng
Schlagworte:
Equivalence
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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