论文标题

与线路排列相关的对数派生

Logarithmic derivations associated to line arrangements

论文作者

Burity, Ricardo, Tohaneanu, Stefan

论文摘要

在本文中,我们对$ \ Mathbb P^2 $(在特征0的领域0)中的等级3行安排进行了完整分类,该分类的定义多项式显示了变量的更改,并带有相应的贴贴图。我们还分析了这种对数派生的形状,以获得具有立方最小对数推导的线排列的标准。

In this paper we give full classification of rank 3 line arrangements in $\mathbb P^2$ (over a field of characteristic 0) that have a minimal logarithmic derivation of degree 3. The classification presents their defining polynomials, up to a change of variables, with their corresponding affine pictures. We also analyze the shape of such a logarithmic derivation, towards obtaining criteria for a line arrangement to possess a cubic minimal logarithmic derivation.

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