On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities

@article{Finski2020OnCF,
  title={On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities},
  author={Siarhei Finski},
  journal={Journal of the London Mathematical Society},
  year={2020},
  volume={106}
}
  • Siarhei Finski
  • Published 28 September 2020
  • Mathematics
  • Journal of the London Mathematical Society
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 polynomials in Chern forms of Griffiths positive vector bundles are weakly positive as differential forms. This provides differential‐geometric versions of Fulton… 

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