Stability of homogeneous principal bundles with a classical groupas the structure group
نویسندگان
چکیده
منابع مشابه
Homogeneous Principal Bundles and Stability
Let G/P be a rational homogeneous variety, where P is a parabolic subgroup of a simple and simply connected linear algebraic group G defined over an algebraically closed field of characteristic zero. A homogeneous principal bundle over G/P is semistable (respectively, polystable) if and only if it is equivariantly semistable (respectively, equivariantly polystable). A stable homogeneous princip...
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Let k be an algebraically closed field of characteristic 6= 2. Let G be a semisimple, simply connected algebraic group over k which is of classical type, that is, G is special linear, special orthogonal, or symplectic. Let X be a nonsingular irreducible projective curve over k. We consider étale locally trivial principal G-bundles on X which are semistable. The main result in this paper is the ...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2005
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(05)80011-4