Abstract

We classify rank-2 vector bundles with no intermediate cohomology on the general prime Fano threefold of index 1 and genus 12. The structure of their moduli spaces is given by means of a monad-theoretic resolution in terms of exceptional bundles.

Keywords

Cohen–Macaulay modules, intermediate cohomology, Fano threefolds V₂₂, canonical and half-canonical curves

Mathematical Subject Classification

Primary: 14J60

Secondary: 14F05, 14J30, 14J45, 14D20

Authors