A GEOMETRIC CONSTRUCTION OF TANGO BUNDLE ON P 5 3 Proof
نویسنده
چکیده
The Tango bundle T over P is proved to be the pull-back of the twisted Cayley bundle C(1) via a map f : P → Q5 existing only in characteristic 2. The Frobenius morphism φ factorizes via such f . Using f the cohomology of T is computed in terms of S ⊗C, φ∗(C), Sym(C) and 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 Q5 is shown.
منابع مشابه
00 1 a Geometric Construction of Tango Bundle on P 5
The Tango bundle T over P is proved to be the pull-back of the twisted Cayley bundle C(1) via a map f : P → Q5 existing only in characteristic 2. The Frobenius morphism φ factorizes via such f . Using f the cohomology of T is computed in terms of S ⊗C, φ∗(C), Sym(C) and C, while these are computed by applying Borel-Bott-Weil theorem. By machine-aided computation the mimimal resolutions of C and...
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تاریخ انتشار 2001