Nagoya Mathematical Journal

Spherical functors on the Kummer surface

Andreas Krug and Ciaran Meachan

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We find two natural spherical functors associated to the Kummer surface and analyze how their induced twists fit with Bridgeland’s conjecture on the derived autoequivalence group of a complex algebraic K3 surface.

Article information

Nagoya Math. J., Volume 219 (2015), 1-8.

Received: 25 February 2014
Revised: 10 April 2014
Accepted: 12 May 2014
First available in Project Euclid: 20 October 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14F05: Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20]
Secondary: 14J28: $K3$ surfaces and Enriques surfaces 18E30: Derived categories, triangulated categories

spherical functors Kummer surface autoequivalences derived category


Krug, Andreas; Meachan, Ciaran. Spherical functors on the Kummer surface. Nagoya Math. J. 219 (2015), 1--8. doi:10.1215/00277630-2891370.

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