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IHEP 2002 - 39 | |
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| F. Anselmo (INFN-Bologna, Bologna, Italy), A.Maslikov (IHEP, Protvino, Russia), G.Volkov (LAPP TH, Annecy-Le-Vieux, France) | ||
| Universal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) Holonomy | ||
| Protvino, 2002.- p.22, figs. 9, table 3, refs.:12. | ||
We discuss some results in Calabi-Yau universal-gebra suitable for constructing and classifying the infinite series of the compact complex spaces with $SU(n)$ holonomy. This universal-gebraic approach includes natural extensions of reflexive weight vectors to higher dimensions. It 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 dimensions.
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