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arxiv: math/0601454 · v3 · submitted 2006-01-18 · 🧮 math.AG

Fundamental groups of some special quadric arrangements

classification 🧮 math.AG
keywords quadricsarrangementothertangentarrangementscommoncomposedfundamental
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In this work we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in $\mathbb{P}^2$. The first arrangement is a union of $n$ quadrics, which are tangent to each other at two common points. The second arrangement is composed of $n$ quadrics which are tangent to each other at one common point. The third arrangement is composed of $n$ quadrics, $n-1$ of them are tangent to the $n$'th one and each one of the $n-1$ quadrics is transversal to the other $n-2$ ones.

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