Antonelli, VincenzoMalaspina, FrancescoMarchesi, SimonePons Llopis, Joan2026-01-192026-01-192025-10-010021-7824https://hdl.handle.net/2445/225686In this work we study the moduli spaces of instanton bundles on the flag twistor space $F:=F(0,1,2)$. We stratify them in terms of the minimal twist supporting global sections and we introduce the notion of (special) 't Hooft bundle on $F$. In particular we prove that there exist $\mu$-stable 't Hooft bundles for each admissible charge $k$. We completely describe the geometric structure of the moduli space of (special) 't Hooft bundles for arbitrary charge $k$. Along the way to reach these goals, we describe the possible structures of multiple curves supported on some rational curves in $F$ as well as the family of del Pezzo surfaces realized as hyperplane sections of $F$. Finally we investigate the splitting behavior of 't Hooft bundles when restricted to conics.44 p.application/pdfengcc-by (c) Vincenzo Antonelli et al., 2025http://creativecommons.org/licenses/by/4.0/Superfícies algebraiquesHomologiaAlgebraic surfacesHomologyinfo:eu-repo/semantics/article7633572026-01-19info:eu-repo/semantics/openAccess