On Generalized Wronskians

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.}