Wolfgang Ebeling, David Ploog
Published 2011-02-24, updated 2013-05-07Version 2
We consider the Berglund-H\"ubsch transpose of a bimodal invertible polynomial and construct a triangulated category associated to the compactification of a suitable deformation of the singularity. This is done in such a way that the corresponding Grothendieck group with the (negative) Euler form can be described by a graph which corresponds to the Coxeter-Dynkin diagram with respect to a distinguished basis of vanishing cycles of the bimodal singularity.
Comments: 18 pages, 8 figures. The published version lists four equations in Table 4 which are not quasismooth. We thank Kazushi Ueda for this observation. In the new version, the equations have been corrected; the results hold without changes
Journal: Manuscripta Mathematica 140 (2013), 195-212
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