Calabi-Yau data

The Calabi-Yau database is a large curated collection of numerical and combinatorial data on Calabi-Yau manifolds, especially those arising from reflexive polytopes in various dimensions. It organizes results from the classification of these polytopes along with associated topological information like Hodge numbers. The database was assembled to support research in algebraic geometry and string theory by providing easy access to detailed properties of Calabi-Yau spaces.卡拉比-丘（Calabi-Yau）数据库是一套规模庞大、经精心整理的数值与组合数据集，聚焦卡拉比-丘流形（Calabi-Yau manifold），尤其涵盖由不同维度下的自反多面体（reflexive polytope）衍生得到的流形。该数据库整合了此类多面体的分类结果，以及霍奇数（Hodge number）等相关拓扑信息。本数据库的构建旨在为代数几何与弦理论领域的研究提供支持，通过便捷的访问途径，让研究者能够获取卡拉比-丘空间的详细属性。

搜集汇总

背景与挑战

背景概述

该数据集是一个由Maximilian Kreuzer和Harald Skarke建立的Calabi-Yau流形数据库，收录了基于自反多面体分类的数值和组合数据，并包含PALP分析工具。它旨在为代数几何和弦理论研究提供详细的Calabi-Yau空间属性信息。