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math.MG2020
On mixed Hodge-Riemann relations for translation-invariant valuations and Aleksandrov-Fenchel inequalities
Jan Kotrbatý, Thomas Wannerer
A version of the Hodge-Riemann relations for valuations was recently conjectured and proved in several special cases by the first-named author. The Lefschetz operator considered th…
math.MG2020
On Hodge-Riemann relations for translation-invariant valuations
Jan Kotrbatý
The Alesker product turns the space of smooth translation-invariant valuations on convex bodies into a commutative associative unital algebra, satisfying Poincaré duality and the h…