3-Instantons et r�seaux de quadriques

Homogeneous instanton bundles on P3 for the action of SL(Faenzi1 2007Journal of Geometry and Physics2200View full textAdd to dashboardCite

“…In the cases a = 2, 3, the SL(2)-homogeneous instanton bundle of the previous corollary was first constructed by P. Katsylo and G. Ottaviani during the preparation of [11] by computational tools. L. Gruson observed that the case a = 2 has a different interpretation in terms of nets of quadrics as in [7]. It corresponds to the net of quadrics containing a twisted cubic.…”

Bundles over Fano threefolds of type V 22

“…The relation between nets of quadrics and 3-instanton bundles has been throughly investigated by Gruson and Skiti in [GS94]. We give account of this in the following remark.…”

Codimension one distributions of degree 2 on the three-dimensional projective space

“…In addition, the morphism η in display (13) can also be regarded as a section η ∈ H 0 (ω Y (l − 2k + 2)).…”