费马型阿贝尔变分的退化探索
IF 0.7
4区 数学
Q2 MATHEMATICS
引用次数: 0
摘要
退化 "一词用于描述霍奇环包含特殊循环的无性变种--这些霍奇循环不是由除数类产生的。我们可以看到例外循环的影响。本文章由计算机程序翻译，如有差异，请以英文原文为准。
An Exploration of Degeneracy in Abelian Varieties of Fermat Type
The term degenerate is used to describe abelian varieties whose Hodge rings contain exceptional cycles – Hodge cycles that are not generated by divisor classes. We can see the effect of the excepti...
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来源期刊
Experimental Mathematics
数学-数学
CiteScore
1.70
自引率
0.00%
发文量
23
审稿时长
>12 weeks
期刊介绍：
Experimental Mathematics publishes original papers featuring formal results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses.
Experiment has always been, and increasingly is, an important method of mathematical discovery. (Gauss declared that his way of arriving at mathematical truths was "through systematic experimentation.") Yet this tends to be concealed by the tradition of presenting only elegant, fully developed, and rigorous results.
Experimental Mathematics was founded in the belief that theory and experiment feed on each other, and that the mathematical community stands to benefit from a more complete exposure to the experimental process. The early sharing of insights increases the possibility that they will lead to theorems: An interesting conjecture is often formulated by a researcher who lacks the techniques to formalize a proof, while those who have the techniques at their fingertips have been looking elsewhere. Even when the person who had the initial insight goes on to find a proof, a discussion of the heuristic process can be of help, or at least of interest, to other researchers. There is value not only in the discovery itself, but also in the road that leads to it.
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