The Wroński determinant (Wrońskian), 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 Wrońskian and of its close relatives, the generalized Wrońskians, in algebraic geometry. Emphasis will be put on the relationships between Schubert Calculus and ODE.
On Generalized Wronskians / Gatto, Letterio; Scherbak, I.. - STAMPA. - 6:(2012), pp. 257-296. (Intervento presentato al convegno Contributions to Algebraic Geometry tenutosi a Bedlewo, Poland nel 4-10 Luglio, 2010) [10.4171/114].
On Generalized Wronskians
GATTO, Letterio;
2012
Abstract
The Wroński determinant (Wrońskian), 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 Wrońskian and of its close relatives, the generalized Wrońskians, in algebraic geometry. Emphasis will be put on the relationships between Schubert Calculus and ODE.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2502557
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