A geometric construction of Tango bundle on P^5
Abstract
The Tango bundle T over P^5 is proved to be the pullback 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 BorelBottWeil theorem. By machineaided computation the mimimal resolutions of C and T are given; incidentally the matrix presenting the spinor bundle S over Q_5 is shown.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:math/0111207
 Bibcode:
 2001math.....11207F
 Keywords:

 Mathematics  Algebraic Geometry;
 14F05 (Primary);
 1404;
 14J60 (Secondary)
 EPrint:
 9 pages, no figures, amslatex