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Exponential valuations on lattice polygons valued at formal power series
Karoly J. Boroczky, Matyas Domokos, Ansgar Freyer +2
We classify valuations on lattice polygons with values in the ring of formal power series that commute with the action of the affine unimodular group. A typical example of such val…
The canonical form, scissors congruence and adjoint degrees of polytopes
Tom Baumbach, Ansgar Freyer, Julian Weigert +1
We study the canonical form as a valuation in the context of scissors congruence for polytopes. We identify the degree of its numerator - the adjoint polynomial $\operatorname{…
Pal's isominwidth problem in the hyperbolic space
Karoly J. Boroczky, Ansgar Freyer, Adam Sagmeister
The paper focuses on possible hyperbolic versions of the classical Pal isominwidth inequality in R^2 from 1921, which states that for a fixed minimal width, the regular triangle ha…