On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities
On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities
We prove that Schur polynomials in Chern forms of Nakano and dual Nakano positive vector bundles are positive as differential forms. Moreover, modulo a statement about the positivity of a “double mixed discriminant” of linear operators on matrices, which preserve the cone of positive definite matrices, we establish that Schur …