Malaspina, FrancescoMarchesi, SimonePons Llopis, Joan2023-02-202023-02-202020-12-180391-173Xhttps://hdl.handle.net/2445/193869Instanton bundles on $\mathbb{P}^3$ have been at the core of the research in A1gebraic Geometry during the last thirty years. Motivated by the recent extension of their definition to other Fano threefolds of Picard number one, we develop the theory of instanton bundles on the complete flag variety $F:=F(0,1,2)$ of point-lines on $\mathbb{P}^2$. After giving for them two different monadic presentations, we use it to show that the moduli space $M I_F(k)$ of instanton bundles of charge $k$ is a geometric GIT quotient and the open subspace $M I_F^s(k) \subset M I_F(k)$ of stable instanton bundles has a generically smooth component of $\operatorname{dim} 8 k-3$. Finally we study their locus of jumping conics.37 p.application/pdfeng(c) Centro Edizioni Scuola Normale Superiore di Pisa, 2020Funcions de diverses variables complexesEspais analíticsGeometria algebraicaFísica matemàticaFunctions of several complex variablesAnalytic spacesAlgebraic geometryMathematical physicsinfo:eu-repo/semantics/article6921592023-02-20info:eu-repo/semantics/openAccess