# Browsing University Archives by Author "Addington, Nicolas"

## Results

• (University of Oregon, 2020-09-24)
We study a certain sequence of moduli spaces of stable sheaves on a K3 surface of Picard rank 1 over \$\mathbb{C}\$. We prove that this sequence can be given the structure of a geometric categorical \$\mathfrak{sl}_2\$ action, ...
• (University of Oregon, 2020-09-24)
We study the moduli space M of twisted Hermite-Einstein connections on a vector bundle over a K3 surface X. We show that the universal bundle can be viewed as a family of stable vector bundles over M parameterized by X, ...
• (University of Oregon, 2019-09-18)
We consider two K3 surfaces defined over an arbitrary field, together with a smooth proper moduli space of stable sheaves on each. When the moduli spaces have the same dimension, we prove that if the etale cohomology groups ...