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Eulerian digraphs and toric Calabi-Yau varieties
[article]
2010
arXiv
pre-print
We investigate the structure of a simple class of affine toric Calabi-Yau varieties that are defined from quiver representations based on finite eulerian directed graphs (digraphs). The vanishing first Chern class of these varieties just follows from the characterisation of eulerian digraphs as being connected with all vertices balanced. Some structure theory is used to show how any eulerian digraph can be generated by iterating combinations of just a few canonical graph-theoretic moves. We
arXiv:1011.2963v1
fatcat:k4njlbyhbrd7tgee3x25rnysfm