Universal Calabi-Yau algebra: Towards an unification of complex geometry

@article{Anselmo2002UniversalCA,
  title={Universal Calabi-Yau algebra: Towards an unification of complex geometry},
  author={Franco Anselmo and J. Ellis and Dimitri V. Nanopoulos and Guennadi Volkov},
  journal={International Journal of Modern Physics A},
  year={2002},
  volume={18},
  pages={5541-5612}
}
We present a universal normal algebra suitable for constructing and classifying Calabi–Yau spaces in arbitrary dimensions. This algebraic approach includes natural extensions of reflexive weight vectors to higher dimensions, related to Batyrev's reflexive polyhedra, and their n-ary combinations. It also includes a "dual" construction based on the Diophantine decomposition of invariant monomials, which provides explicit recurrence formulae for the numbers of Calabi–Yau spaces in arbitrary… Expand
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