4 papers
Locally recoverable codes on surfaces
Cecília Salgado, Anthony Várilly-Alvarado, José Felipe Voloch
A linear error correcting code is a subspace of a finite-dimensional space over a finite field with a fixed coordinate system. Such a code is said to be locally recoverable with lo…
Campana points of bounded height on vector group compactifications
Marta Pieropan, Arne Smeets, Sho Tanimoto +1
We initiate a systematic quantitative study of subsets of rational points that are integral with respect to a weighted boundary divisor on Fano orbifolds. We call the points in the…
Odd order obstructions to the Hasse principle on general K3 surfaces
Jennifer Berg, Anthony Várilly-Alvarado
We show that odd order transcendental elements of the Brauer group of a K3 surface can obstruct the Hasse principle. We exhibit a general K3 surface of degree 2 over $\mathbb{Q…
Weak approximation on del Pezzo surfaces of degree 1
Anthony Várilly-Alvarado
We study del Pezzo surfaces of degree 1 of the form w^2 = z^3 + Ax^6 + By^6 in the weighted projective space P_k(1,1,2,3), where k is a perfect field of characteristic not 2 or 3 a…