@Article{dbt_mods_00068355,
  author = 	{Ross, Julius
		and S{\"u}ss, Hendrik
		and Wannerer, Thomas},
  title = 	{Dually Lorentzian Polynomials},
  journal = 	{Monatshefte f{\"u}r Mathematik},
  year = 	{2025},
  month = 	{Nov},
  day = 	{17},
  publisher = 	{Springer},
  address = 	{Wien},
  volume = 	{208},
  number = 	{3},
  pages = 	{495--524},
  keywords = 	{Lorentzian polynomials; Log-concavity; Hodge-Riemann bilinear relations; Alexandrov-Fenchel inequality; 32J27; 52A39 (Primary); 52B40; 14C17; 52A40 (Secondary)},
  abstract = 	{Abstract We introduce and study a notion of dually Lorentzian polynomials, and show that if s is non-zero and dually Lorentzian then the operator s(∂x1 , . . . , ∂x n ) : R[x1, . . . , x n ] {\textrightarrow} R[x1, . . . , x n ] preserves (strictly) Lorentzian polynomials. From this we conclude that any theory that admits a mixed Alexandrov-Fenchel inequality also admits a generalized Alexandrov-Fenchel inequality involving dually Lorentzian polynomials. As such we deduce generalized Alexandrov-Fenchel inequalities for mixed discriminants, for integrals of K{\"a}hler classes, for mixed volumes, and in the theory of valuations.},
  note = 	{Zweitver{\"o}ffentlichung},
  issn = 	{1436-5081},
  doi = 	{10.1007/s00605-025-02134-6},
  url = 	{https://www.db-thueringen.de/receive/dbt_mods_00068355},
  url = 	{https://doi.org/10.1007/s00605-025-02134-6},
  file = 	{:https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00069765/00605_2025_Article_2134.pdf:PDF},
  language = 	{en}
}