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arxiv: 1310.4683 · v1 · pith:T7FN2BLMnew · submitted 2013-10-17 · 🧮 math.AG · math.CA

On Generalized Wronskians

classification 🧮 math.AG math.CA
keywords algebraicdifferentialequationsgeneralizedgeometrylinearnskianordinary
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The Wro\'nski determinant ({\em Wro\'nskian}), usually introduced in standard courses in Ordinary Differential Equations (ODE), is a very useful tool in algebraic geometry to detect ramification loci of linear systems. The present survey aims to describe some "materializations" of the Wro\'nskian and of its close relatives, {\it the generalized Wro\'nskians}, in algebraic geometry. Emphasis will be put on the relationships between Schubert Calculus and Linear Ordinary Differential Equations.}

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