polymake中的环面几何

L. Kastner, Benjamin Lorenz, Andreas Paffenholz, Anna-Lena Winz
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引用次数: 0

摘要

我们给出了应用程序“fulton”的软件框架polymake的环形几何的概述。使用二维循环商奇点作为我们的主要例子,我们将展示如何在这些奇点上创建环变和除数。polymake的奇异接口允许人们在没有已知组合算法的情况下回到代数方面,以发展新的猜想和算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Toric geometry in polymake
We give an overview of the application 'fulton' for toric geometry of the software framework polymake. Using two-dimensional cyclic quotient singularities as our main example, we will show how to create toric varieties and divisors on these. The Singular interface of polymake allows one to go back to the algebraic side in case there is no combinatorial algorithm known yet, in order to develop new conjectures and algorithms.
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