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math.AG2022
The cohomology of spherical vector bundles on K3 surfaces
Yeqin Liu
We find an algorithm to compute the cohomology groups of spherical vector bundles on complex projective K3 surfaces, in terms of their Mukai vectors. In many good cases, we give si…
math.AG2022
Higher rank Brill-Noether theory on P^2
Benjamin Gould, Yeqin Liu, Dorian Woo-Hyung
Let be a moduli space of semistable sheaves on , and let be the \textit{Brill-Noether locus} of sheaves $…