We study the map which sends vectors of polynomials into their Wronski determinants. This defines a projection map of a Grassmann variety which we call a Wronski map. Our main result is computation of degrees of the real Wronski maps. Connections with real algebraic geometry and control theory are described
This thesis is devoted to the study of special algebraic varieties arising from the theory of tensor...
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic...
By relating the problem to the study of the number of zeros of certain wronskian determinants, estim...
We study the map which sends vectors of polynomials into their Wronski determinants. This defines a ...
We study the map which sends a pair of real polynomials (f0,f1) into their Wronski determinant W(f0,...
Given a complex vector space V, consider the quotient map of the image of the Plucker embedding of t...
International audienceThe main result is a wall-crossing formula for central projections defined on ...
AbstractThe Wronskian associates to d linearly independent polynomials of degree at most n, a non-ze...
In this thesis, we studied flag varieties, the Grassmann variety G(d; n) and their behavior under th...
We prove the B. and M. Shapiro conjecture that if the Wronskian of a set of polynomials has real roo...
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic...
Let be the algebra of quaternions ℍ or octonions . In this manuscript an elementary proof is given,...
The Wroński determinant (Wrońskian), usually introduced in standard courses in Ordinary Differential...
The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in o...
Preprint enviat per a la seva publicació en una revista científica.In this note we prove that a poly...
This thesis is devoted to the study of special algebraic varieties arising from the theory of tensor...
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic...
By relating the problem to the study of the number of zeros of certain wronskian determinants, estim...
We study the map which sends vectors of polynomials into their Wronski determinants. This defines a ...
We study the map which sends a pair of real polynomials (f0,f1) into their Wronski determinant W(f0,...
Given a complex vector space V, consider the quotient map of the image of the Plucker embedding of t...
International audienceThe main result is a wall-crossing formula for central projections defined on ...
AbstractThe Wronskian associates to d linearly independent polynomials of degree at most n, a non-ze...
In this thesis, we studied flag varieties, the Grassmann variety G(d; n) and their behavior under th...
We prove the B. and M. Shapiro conjecture that if the Wronskian of a set of polynomials has real roo...
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic...
Let be the algebra of quaternions ℍ or octonions . In this manuscript an elementary proof is given,...
The Wroński determinant (Wrońskian), usually introduced in standard courses in Ordinary Differential...
The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in o...
Preprint enviat per a la seva publicació en una revista científica.In this note we prove that a poly...
This thesis is devoted to the study of special algebraic varieties arising from the theory of tensor...
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic...
By relating the problem to the study of the number of zeros of certain wronskian determinants, estim...
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