Rank two aCM bundles on the del Pezzo threefold of degree $7$

TL;DR

This paper classifies indecomposable rank 2 arithmetically Cohen-Macaulay bundles on the degree 7 del Pezzo threefold and explores their moduli spaces.

Contribution

It provides a complete classification of such bundles and analyzes the structure of their moduli spaces, a new result in algebraic geometry.

Findings

Classification of indecomposable rank 2 aCM bundles

Description of the moduli spaces of these bundles

Insights into the geometry of the del Pezzo threefold of degree 7

Abstract

We classify indecomposable aCM bundles of rank $2$ on the del Pezzo threefold of degree $7$ and analyze the corresponding moduli spaces.