Instanton bundles on Fano threefolds

Abstract

We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.

31 page, to appear in CEJM

References in corpus (1)

• Derived categories of cubic and V14 threefolds

Cited by in corpus (21)

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• Instanton bundles on two Fano threefolds of index $1$
• Moduli spaces of Ulrich bundles on the Fano 3-fold $V_5$
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• ACM bundles on cubic fourfolds containing a plane
• ACM bundles on cubic threefolds
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• Bridgeland stability of minimal instanton bundles on Fano threefolds
• Compactification of the moduli space of minimal instantons on the Fano threefold $V_4$
• Bridgeland Moduli spaces for Gushel-Mukai threefolds and Kuznetsov's Fano threefold conjecture
• Monads on projective varieties
• Torsion free instanton sheaves on the blow-up of ${\mathbb{P}}^n$ at a point
• Ulrich bundles on intersections of two 4-dimensional quadrics
• Instanton Sheaves on Ruled Fano 3-folds of Picard Rank 2 and Index 1
• Okamoto Transformations relating Equivariant Instanton Bundles via Painleve VI
• Instanton bundles on ${\mathbb{P}}^1\times {\mathbb{F}}_1$
• Rank two weak Fano bundles on del Pezzo threefolds of degree five
• Torsion free instanton sheaves on the blow-up of ${\mathbb{P}}^3$ at a point