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Spherical functors on the Kummer surface

Part of: Abelian categories (Co)homology theory Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  11 January 2016

Andreas Krug  and
Ciaran Meachan
Andreas Krug
Affiliation:
Mathematisches Institut, Universität Bonn, Bonn, Germany, akrug@math.uni-bonn.de
Ciaran Meachan
Affiliation:
School of Mathematics University of Edinburgh, Edinburgh, Scotland, ciaran.meachan@ed.ac.uk
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Abstract

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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.

MSC classification

Secondary: 14F05: Sheaves, derived categories of sheaves and related constructions 14J28: $K3$ surfaces and Enriques surfaces 18E30: Derived categories, triangulated categories
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 219 , September 2015 , pp. 1 - 8
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2015

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