论自由曲线圆锥的删除和添加

arXiv - MATH - Commutative Algebra Pub Date : 2024-08-21 DOI:arxiv-2408.11714

Anca Macinic

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引用次数: 0

摘要

我们描述了自由圆锥曲线排列在删除或添加光滑圆锥时的行为。在此过程中，我们推导出了由无绿属性引起的对圆锥曲线排列几何形状的一些限制。我们证明，同样的行为一般也适用于自由还原曲线。

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On the deletion and addition of a conic to a free curve

We describe the behaviour of a free conic-line arrangement to the deletion, respectively addition, of a smooth conic. Along the way we derive some restrictions on the geometry of a conic-line arrangement induced by the freeness property. We show the same behaviour extends to free reduced curves in general.

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arXiv - MATH - Commutative Algebra

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