124 citations · 658 across the 53 of their papers we have counts for
Showing 2010 · math.AGShow all
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math.AG2010★ 3 cited
Matrices with Eigenvectors in a Given Subspace
Giorgio Ottaviani, Bernd Sturmfels
The Kalman variety of a linear subspace in a vector space consists of all endomorphism that possess an eigenvector in that subspace. We study the defining polynomials and basic geo…
math.AG2010★ 4 cited
Equations for secant varieties via vector bundles
J. M. Landsberg, G. Ottaviani
We introduce vector bundle techniques for finding equations of secant varieties. A test is established that determines when a secant variety is an irreducible component of the zero…
math.AG2010★ 11 cited
Equations for secant varieties to Veronese varieties
J. M. Landsberg, Giorgio Ottaviani
We define new classes of modules of equations for secant varieties of Veronese varieties using representation theory and geometry. We also revisit some old modules of equations (ca…