A geometric construction of Tango bundle on P^5
Algebraic Geometry
2016-09-07 v2
Abstract
The Tango bundle T over P^5 is proved to be the pull-back of the twisted Cayley bundle C(1) via a map f : P^5 --> Q_5 existing only in characteristic 2. The Frobenius morphism F factorizes via such f. Using f the cohomology of T is computed in terms of F^*(C), Sym^2(C), C and the tensor product of S by C, while these are computed by applying Borel-Bott-Weil theorem. By machine-aided computation the mimimal resolutions of C and T are given; incidentally the matrix presenting the spinor bundle S over Q_5 is shown.
Cite
@article{arxiv.math/0111207,
title = {A geometric construction of Tango bundle on P^5},
author = {Daniele Faenzi},
journal= {arXiv preprint arXiv:math/0111207},
year = {2016}
}
Comments
9 pages, no figures, ams-latex