R. van Luijk

collaborators

3 papers

math.AG2023

On the Galois-invariant part of the Weyl group of the Picard lattice of a K3 surface

Wim Nijgh, Ronald van Luijk

Let $X$ denote a K3 surface over an arbitrary field $k$ . Let $k^{s}$ denote a separable closure of $k$ and let $X^{s}$ denote the base change of $X$ to $k^{s}$ . The…

math.AG2019

Concurrent lines on del Pezzo surfaces of degree one

Ronald van Luijk, Rosa Winter

Let $X$ be a del Pezzo surface of degree one over an algebraically closed field $k$ , and let $K_{X}$ be its canonical divisor. The morphism $φ$ induced by the linear system $∣ - 2 K_{X} ∣$ …

math.CO2019

The action of the Weyl group on the $E_{8}$ root system

Rosa Winter, Ronald van Luijk

Let $Γ$ be the graph on the roots of the $E_{8}$ root system, where any two distinct vertices $e$ and $f$ are connected by an edge with color equal to the inner product of $e$ and $f…

On the Galois-invariant part of the Weyl group of the Picard lattice of a K3 surface

Concurrent lines on del Pezzo surfaces of degree one

The action of the Weyl group on the E8​ root system

The action of the Weyl group on the $E_{8}$ root system