1 citations · 1 across the 3 of their papers we have counts for
4 papers
Full Degree Two del Pezzo Surfaces over Small Finite Fields
Amanda Knecht, Kristofer Reyes
Hirschfeld classified split del Pezzo surfaces of degree at least three whose points are all contained on the lines in the surface. We continue his work and begin the classificatio…
Degree of Unirationality for del Pezzo Surfaces over Finite Fields
Amanda Knecht
We address the question of the degree of unirational parameterizations of degree four and degree three del Pezzo surfaces. Specifically we show that degree four del Pezzo surfaces…
Rationally connected varieties over the maximally unramified extension of p-adic fields
Bradley Duesler, Amanda Knecht
A result of Graber, Harris, and Starr shows that a rationally connected variety defined over the function field of a curve over the complex numbers always has a rational point. Sim…
Weak Approximation for General Degree Two del Pezzo Surfaces
Amanda Knecht
We address weak approximation for certain del Pezzo surfaces defined over the function field of a curve. We study the rational connectivity of the smooth locus of degree two del Pe…