# name
Instanton bundles on the flag variety $F(0,1,2)$

# metadata.dc.description.abstract[].value
Instanton 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.

# metadata.dc.publisher[].value
Centro Edizioni Scuola Normale Superiore di Pisa

# metadata.dc.relation.ispartof[].value
Annali della Scuola Normale Superiore di Pisa. Classe di Scienze, 2020, vol. 20, num. 4, p. 1469-1505

# metadata.dc.rights[].value
(c) Centro Edizioni Scuola Normale Superiore di Pisa, 2020

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.subject.classification[].value
Funcions de diverses variables complexes

# metadata.dc.title[].value
Instanton bundles on the flag variety $F(0,1,2)$