Plücker-type inequalities for mixed areas and intersection numbers of curve arrangements
- Gennadiy Averkov (TU Cottbus)
Abstract
Mixed areas and mixed volumes are central objects in the measure-theoretic convexity theory. They also play a fundamental role for applications in stochastic, algebraic and tropical geometry, with the link to algebraic and tropical geometry established via the celebrated BKK theorem. Still, some very basic questions on the relations between mixed volumes within a collection of convex bodies remain unsolved. For example, already the exact relations of the 10 mixed areas
Any collection of
This is a joint work with Ivan Soprunov (see arxiv.org/abs/2112.13128).