General Affine Invariances Related to Mahler Volume
General Affine Invariances Related to Mahler Volume
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DOI：
10.1093/imrn/rnab118
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发表时间：
2021-06
影响因子：
1
通讯作者：
Dongmeng Xi;Yiming Zhao
中科院分区：
文献类型：
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作者：
Dongmeng Xi;Yiming Zhao
介绍了与马勒体积有关的一般仿射不变性。我们通过使用一种对称方案来建立它们的仿射等周不等式，该方案一次涉及总共$2n$精心选择的斯坦纳对称。这个方案的必要性，相对于通常的斯坦纳对称，用一个例子来证明（见附录）。
General affine invariances related to Mahler volume are introduced. We establish their affine isoperimetric inequalities by using a symmetrization scheme that involves a total of $2n$ elaborately chosen Steiner symmetrizations at a time. The necessity of this scheme, as opposed to the usual Steiner symmetrization, is demonstrated with an example (see the Appendix).