Restriction of Tangent Bundle and Semistability |
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| Authors: | Indranil Biswas Arijit Dey |
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| Institution: | 1. School of Mathematics , Tata Institute of Fundamental Research , Mumbai, India indranil@math.tifr.res.in;3. School of Mathematics , Tata Institute of Fundamental Research , Mumbai, India |
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| Abstract: | Let G be a simple linear algebraic group defined over ? and P ? G a maximal proper parabolic subgroup such that m: = dim ? G/P ≥ 5. Let ι: Z 1 ∩ Z 2?G/P be a smooth complete intersection such that degree(Z i ) ≥ (m ? 1)·index(G/P)/m, i = 1, 2. Then the vector bundle ι*T(G/P) → Z 1 ∩ Z 2 is semistable. |
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| Keywords: | Complete intersection Rational homogeneous space Tangent bundle Semistability |
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