5 papers
Generic Recovery of Permittivity and Permeability in Anisotropic Maxwell Systems
Antonio Cocan, Maarten V. de Hoop, Joonas Ilmavirta +2
We study the inverse problem of recovering the constitutive tensors of a homogeneous anisotropic electromagnetic medium without magnetoelectric coupling (non-chiral) from its Fresn…
The Degree of Irrationality of del Pezzo Surfaces
Adam Logan, Anthony Várilly-Alvarado, David Zureick-Brown
For an irreducible variety over a field , the degree of irrationality is the minimal degree of a dominant rational map $X \dashrightarrow \mathbb{P}…
Moduli of lattice-polarized K3 surfaces and boundedness of Brauer groups
Danny Bragg, Emma Brakkee, Anthony Várilly-Alvarado
Inspired by constructions over the complex numbers of Dolgachev and Alexeev-Engel, we define moduli stacks of lattice-polarized K3 surfac…
Locally recoverable algebro-geometric codes from projective bundles
Konrad Aguilar, Angelynn Álvarez, René Ardila +3
A code is locally recoverable when each symbol in one of its code words can be reconstructed as a function of other symbols. We use bundles of projective spaces over a line to…
Reconstruction of anisotropic stiffness tensors from partial data around one polarization
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
We study inverse problems in anisotropic elasticity using tools from algebraic geometry. The singularities of solutions to the elastic wave equation in dimension with an anisot…