2002/10/08 by Balázs Szendröi, Balazs Szendroi, Szendroi, Balazs
Mathematics · #14F05 (Primary) #14J32 #18E30 #20F36 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14F05 #msc:14J32 #msc:18E30 #msc:20F36
paper · pdf · doi:10.48550/arxiv.math/0210121
25 pages, 2 figures, one inaccuracy corrected
openalex publication_date 2002/10/08 · arxiv created 2002/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.