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On Generalized Wronskians

Authors
  • Gatto, Letterio
  • Scherbak, Inna
Type
Published Article
Publication Date
Oct 17, 2013
Submission Date
Oct 17, 2013
Identifiers
DOI: 10.4171/114
Source
arXiv
License
Yellow
External links

Abstract

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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