Polynomial Roots and Calabi-Yau Geometries

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...

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Main Author: Yang-Hui He
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2011/719672
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author Yang-Hui He
author_facet Yang-Hui He
author_sort Yang-Hui He
collection DOAJ
description 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 Poincaré and Newton polynomials, and observe various salient features and geometrical patterns.
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institution Kabale University
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publishDate 2011-01-01
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series Advances in High Energy Physics
spelling doaj-art-4989adc5ea8a4d4899259674bbb5d2152025-02-03T06:11:05ZengWileyAdvances in High Energy Physics1687-73571687-73652011-01-01201110.1155/2011/719672719672Polynomial Roots and Calabi-Yau GeometriesYang-Hui He0School of Physics, Nankai University, Tianjin 300071, ChinaThe 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 Poincaré and Newton polynomials, and observe various salient features and geometrical patterns.http://dx.doi.org/10.1155/2011/719672
spellingShingle Yang-Hui He
Polynomial Roots and Calabi-Yau Geometries
Advances in High Energy Physics
title Polynomial Roots and Calabi-Yau Geometries
title_full Polynomial Roots and Calabi-Yau Geometries
title_fullStr Polynomial Roots and Calabi-Yau Geometries
title_full_unstemmed Polynomial Roots and Calabi-Yau Geometries
title_short Polynomial Roots and Calabi-Yau Geometries
title_sort polynomial roots and calabi yau geometries
url http://dx.doi.org/10.1155/2011/719672
work_keys_str_mv AT yanghuihe polynomialrootsandcalabiyaugeometries