K. Kusejko

most citedA Poncelet Criterion for special pairs of conics in

P G (2, p)

1 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.CO2015

Steiner's Porism in finite Miquelian Möbius planes

Norbert Hungerbühler, Katharina Kusejko

We investigate Steiner's Porism in finite Miquelian Möbius planes constructed over the pair of finite fields $GF (p^{m})$ and $GF (p^{2 m})$ , for $p$ an odd prime and $m \geq 1$ . Proper…

math.MG2015

A Valuation-Theoretic Approach to Translative-Equidecomposability

Katharina Kusejko, Lukas Parapatits

All simple translation-invariant valuations on polytopes are classified. As a direct consequence the well-known conditions for translative-equidecomposability are recovered. Furthe…

math.CO2014★ 1 cited

Simultaneous Diagonalization of Conics in $P G (2, q)$

Katharina Kusejko

Consider two symmetric $3 \times 3$ matrices $A$ and $B$ with entries in $GF (q)$ , for $q = p^{n}$ , $p$ an odd prime. The zero sets of $v^{T} A v$ and $v^{T} B v$ can be viewed as (possibly d…

math.CO2014★ 1 cited

A Poncelet Criterion for special pairs of conics in $P G (2, p)$

Norbert Hungerbühler, Katharina Kusejko

We study Poncelet's Theorem in finite projective coordinate planes over the field $GF (p)$ and concentrate on a particular pencil of conics. For pairs of such conics we investigate…

math.CO2014

Poncelet's Theorem in the four nonisomorphic finite projective planes of order 9

Katharina Kusejko, Norbert Hungerbühler

We study Poncelet's Theorem in the four non-isomorphic finite projective planes of order 9. Among these planes, only the Desarguesian plane turns out to be a Poncelet plane, while…