摘要翻译:
TrIm软件提供了由Tevelev和作者开发的热带隐含化和热带消除的实现。给出一个具有泛型系数的多项式映射,TrIm计算图像的热带变化。当图像是超曲面时,输出是定义多项式的牛顿多面体。因此,TrIm可以用来计算混合纤维多面体,包括二次多面体。
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英文标题:
《Tropical Implicitization and Mixed Fiber Polytopes》
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作者:
Bernd Sturmfels and Josephine Yu
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最新提交年份:
2010
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分类信息:
一级分类:Computer Science 计算机科学
二级分类:Symbolic Computation 符号计算
分类描述:Roughly includes material in ACM Subject Class I.1.
大致包括ACM学科第一类1的材料。
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Combinatorics 组合学
分类描述:Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory
离散数学,图论,计数,组合优化,拉姆齐理论,组合对策论
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英文摘要:
The software TrIm offers implementations of tropical implicitization and tropical elimination, as developed by Tevelev and the authors. Given a polynomial map with generic coefficients, TrIm computes the tropical variety of the image. When the image is a hypersurface, the output is the Newton polytope of the defining polynomial. TrIm can thus be used to compute mixed fiber polytopes, including secondary polytopes.
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PDF链接:
https://arxiv.org/pdf/0706.0564