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...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2011-01-01
|
Series: | Advances in High Energy Physics |
Online Access: | http://dx.doi.org/10.1155/2011/719672 |
id |
doaj-4989adc5ea8a4d4899259674bbb5d215 |
---|---|
record_format |
Article |
spelling |
doaj-4989adc5ea8a4d4899259674bbb5d2152020-11-24T22:51:10ZengHindawi LimitedAdvances 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yang-Hui He |
spellingShingle |
Yang-Hui He Polynomial Roots and Calabi-Yau Geometries Advances in High Energy Physics |
author_facet |
Yang-Hui He |
author_sort |
Yang-Hui He |
title |
Polynomial Roots and Calabi-Yau Geometries |
title_short |
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_sort |
polynomial roots and calabi-yau geometries |
publisher |
Hindawi Limited |
series |
Advances in High Energy Physics |
issn |
1687-7357 1687-7365 |
publishDate |
2011-01-01 |
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. |
url |
http://dx.doi.org/10.1155/2011/719672 |
work_keys_str_mv |
AT yanghuihe polynomialrootsandcalabiyaugeometries |
_version_ |
1725671043377397760 |