Exceptional collection of vector bundles on \(V_{22}\) Fano threefolds
The author constructs an exceptional set of vector bundles on three-dimensional Fano manifolds \(X\) of index 1 with \(\text{Pic }X =\mathbb{Z}\) of genus 12 (manifolds \(V_{22}\)). The existence of an exceptional set on a general variety \(X\) is shown and the component dimensions of the homomorphism algebra of this set are computed.
scientific article; zbMATH DE number 1134941