Polynomial Roots and Calabi-Yau Geometries

Details Polynomial Roots and Calabi-Yau Geometries Polynomial Roots and Calabi-Yau Geometries

2010-10-04

arxiv.org/abs/1010.0656v1

Adv.High Energy Phys.2011:719672

Mathematics

Algebraic Geometry

22 pages, 13 Figures

Scientific paper

10.1155/2011/719672

The examination of roots of constrained polynomials dates back at least to Waring and to Littlewood. However, such delicate structures as fractals and holes have only recently been found. We study the space of roots to certain integer polynomials arising naturally in the context of Calabi-Yau spaces, notably Poincare and Newton polynomials, and observe various salient features and geometrical patterns.

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