On Generalized Wronskians
Algebraic Geometry
2013-10-18 v1 Classical Analysis and ODEs
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.}
Keywords
Cite
@article{arxiv.1310.4683,
title = {On Generalized Wronskians},
author = {Letterio Gatto and Inna Scherbak},
journal= {arXiv preprint arXiv:1310.4683},
year = {2013}
}
Comments
41 pages, appeared in a shorter version in the Volume "Contributions to Algebraic Geometry", Impanga Lecture Notes (P. Pragacz Ed.)