Artin group actions on derived categories of threefolds

Details Artin group actions on derived categories of threefolds Artin group actions on derived categories of threefolds

2002-10-08

arxiv.org/abs/math/0210121v2

Mathematics

Algebraic Geometry

25 pages, 2 figures, one inaccuracy corrected

Scientific paper

Motivated by the enhanced gauge symmetry phenomenon of the physics literature and mirror symmetry, this paper constructs an action of an Artin group on the derived category of coherent sheaves of a smooth quasiprojective threefold containing a configuration of ruled surfaces described by a finite type Dynkin diagram. The action extends over deformations of the threefold via a compatible action of the corresponding reflection group on the base of its deformation space. All finite type Dynkin diagrams are realized.

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