Instanton bundles on Fano threefolds
By Alexander Kuznetsov. 2012
68 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b75c31247ea114dc7a244001cf45ce52964db005
How researchers see this paper
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In Geometry and Topology
- Yuri Prokhorov
- Constantin Shramov
- Alexander Kuznetsov
- K. Hori
- Emanuele Macrì
- P. Stellari
- Alexander Perry
- Nicolas Addington
In Mathematical Physics
- Constantin Shramov
- Yuri Prokhorov
- Alexander Kuznetsov
- K. Hori
- Emanuele Macrì
- P. Stellari
- Alexander Perry
- I. Smith
Citations in the corpus
- Hilbert schemes of lines and conics and automorphism groups of Fano threefolds (2016, background): “U Y2 ; Y3 O Y Y(1)i: Moreover, Hom(U Y2;U Y3) is a three-dimensional vector space, and so B Y = hU Y2;U Y3i˘=D b(Q 3): where Q 3 is the Kronecker quiver / / / with 3 arrows. As it was explained in [Kuz12], this equivalence gives an isomorphism ( Y) ˘= P Hom(U Y2;U Y3) ˘= P2: Indeed, an ideal sheaf ”
- Even and odd instanton bundles on Fano threefolds of Picard number one (2013, unknown): “Kuznetsov’s paper takes up many questions considered here; the results are particularly close for Fano threefolds of index 2 and degree 4 and 5.”