3 citations · 7 across the 7 of their papers we have counts for
10 papers
The Hasse norm principle for -quartic extensions of global function fields
Anand Deopurkar, Rachel Newton, Vaidehee Thatte +1
For a finite extension of global fields , the norm map extends to a map on idèle groups. The Hasse norm principle holds if every element of $…
Weak weak approximation and the Hilbert property for degree-two del Pezzo surfaces
Julian Lawrence Demeio, Sam Streeter, Rosa Winter
We prove that del Pezzo surfaces of degree over a field satisfy weak weak approximation if is a number field and the Hilbert property if is Hilbertian of characteri…
Campana points on diagonal hypersurfaces
Francesca Balestrieri, Julia Brandes, Miriam Kaesberg +3
We construct an integral model for counting Campana points of bounded height on diagonal hypersurfaces of degree greater than one, and give an asymptotic formula for their number,…
Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one
Julie Desjardins, Rosa Winter
The blow-up of the anticanonical base point on a del Pezzo surface of degree 1 gives rise to a rational elliptic surface with only irreducible fibers. The section…
Recovery from Power Sums
Hana Melánová, Bernd Sturmfels, Rosa Winter
We study the problem of recovering a collection of numbers from the evaluation of power sums. This yields a system of polynomial equations, which can be underconstrained ($…
Density of rational points on a family of del Pezzo surfaces of degree one
Julie Desjardins, Rosa Winter
Let be an infinite field of characteristic 0, and a del Pezzo surface of degree with at least one -rational point. Various methods from algebraic geometry and arithm…
Linear Spaces of Symmetric Matrices with Non-Maximal Maximum Likelihood Degree
Kathlen Kohn, Rosa Winter, Yuhan Jiang
We study the maximum likelihood degree of linear concentration models in algebraic statistics. We relate the geometry of the reciprocal variety to that of semidefinite programming.…
Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces
Victoria Cantoral-Farfán, Alice Garbagnati, Cecília Salgado +2
We study K3 surfaces over a number field which are double covers of extremal rational elliptic surfaces. We provide a list of all elliptic fibrations on certain K3 surfaces tog…
Concurrent lines on del Pezzo surfaces of degree one
Ronald van Luijk, Rosa Winter
Let be a del Pezzo surface of degree one over an algebraically closed field , and let be its canonical divisor. The morphism induced by the linear system …
The action of the Weyl group on the root system
Rosa Winter, Ronald van Luijk
Let be the graph on the roots of the root system, where any two distinct vertices and are connected by an edge with color equal to the inner product of and $f…