Generalizations of Strassen's equations for secant varieties of Segre varieties

Joseph M. Landsberg (1) , Laurent Manivel (2)

1 TAMU - Department of Mathematics [Texas]
2 IF - Institut Fourier

We define many new examples of modules of equations for secant varieties of Segre varieties that generalize Strassen's commutation equations. Our modules of equations are obtained by constructing subspaces of matrices from tensors that satisfy various commutation properties.

Mots clés: Segre variety; secant variety

Domaines: Géométrie algébrique [math.AG]

Joseph M. Landsberg, Laurent Manivel. Generalizations of Strassen's equations for secant varieties of Segre varieties. Communications in Algebra, 2008, 36 (2), pp.405-422. ⟨hal-00330628⟩