Dynamics of the segre varieties of a real submanifold in complex space, " J. Reflection ideals and mappings between generic submanifolds in complex space, " J.

We study Veronese and Segre morphisms between non-commutative projective spaces. compute finite reduced Gr\"obner bases for their kernels, we compare them with analogues in the commutative case.

Abstract We prove an analogue of Horrocks’ splitting theorem for Segre–Veronese varieties building upon the theory Tate resolutions on products projective spaces.

We generalize work of Lascoux and Jo zeeak-Pragacz-Weyman on Betti numbers for minimal free resolutions of ideals generated by 2 2 minors of generic matrices and generic symmetric matrices, respectively. Quotients of polynomial rings by these ideals are the classical Segre and quadratic Veronese subalgebras, and we compute the analogous Betti numbers for some natural modules over these Segre an...