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arxiv: 0812.4807 · v3 · submitted 2008-12-28 · 🧮 math.NT

On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation

classification 🧮 math.NT
keywords fieldpolynomialsformalgenericintersectionproblemquartictransformation
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Let $k$ be a field of characteristic $\neq 2$. We give an answer to the field intersection problem of quartic generic polynomials over $k$ via formal Tschirnhausen transformation and multi-resolvent polynomials.

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