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arxiv: 1005.1355 · v1 · submitted 2010-05-09 · 🧮 math.AG

On (2,3) torus decompositions of QL-configurations

classification 🧮 math.AG
keywords torusaffineclassdecompositiondecompositionsdefiningexceptexistence
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Let $Q$ be an affine quartic which does not intersect transversely with the line at infinity $L_{\infty}$. In this paper, we show the existence of a $(2,3)$ torus decomposition of the defining polynomial of $Q$ and its uniqueness except for one class.

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