A Macaulay2 package for computations with rational maps

A Macaulay2 package for computations with rational maps
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用于有理图计算的Macaulay2包

DOI:
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发表时间:
2017
期刊:
The Journal of Software for Algebra and Geometry
影响因子:
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通讯作者:
Giovanni Staglianò
Giovanni Staglianò
中科院分区:
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文献类型:
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作者:
Giovanni Staglianò

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Macaulay 2软件包Cremona对不可约射影簇之间的有理和双有理映射进行了一些计算。例如,它给出了计算有理映射的度和投射度的方法,而没有任何理论上的限制,由此导出了计算塞格雷类向投射空间推进的一般方法.此外,计算可以确定性地和概率地进行。我们在这里给一个简短的描述的方法和算法实现。
The Macaulay2 package Cremona performs some computations on rational and birational maps between irreducible projective varieties. For instance, it provides methods to compute degrees and projective degrees of rational maps without any theoretical limitation, from which is derived a general method to compute the push-forward to projective space of Segre classes. Moreover, the computations can be done both deterministically and probabilistically. We give here a brief description of the methods and algorithms implemented.