对数余切束，chen - mather类，和Huh-Sturmfels对合猜想

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2023-09-15 DOI:10.1002/cpa.22156

Laurenţiu G. Maxim, Jose Israel Rodriguez, Botong Wang, Lei Wu

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引用次数: 3

摘要

利用对数余切束中的紧化，我们得到了具有正交补的开嵌入下拉格朗日循环推进的Chern类的公式。这概括了Aluffi和Wu-Zhou的早期结果。我们的公式的第一个应用是对任意非常仿射变化的chen - mather类的几何描述，推广了Huh在光滑和schön假设下的早期结果。作为第二种应用，我们证明了一个由Huh和Sturmfels在2013年推测的关于截面最大似然度(ML)和ML二度的对合公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Logarithmic cotangent bundles, Chern-Mather classes, and the Huh-Sturmfels involution conjecture

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Logarithmic cotangent bundles, Chern-Mather classes, and the Huh-Sturmfels involution conjecture

Using compactifications in the logarithmic cotangent bundle, we obtain a formula for the Chern classes of the pushforward of Lagrangian cycles under an open embedding with normal crossing complement. This generalizes earlier results of Aluffi and Wu-Zhou. The first application of our formula is a geometric description of Chern-Mather classes of an arbitrary very affine variety, generalizing earlier results of Huh which held under the smooth and schön assumptions. As the second application, we prove an involution formula relating sectional maximum likelihood (ML) degrees and ML bidegrees, which was conjectured by Huh and Sturmfels in 2013.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567