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On the Stability of Tangent Bundle on Double Coverings

On the Stability of Tangent Bundle on Double Coverings
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摘要 Let Y be a smooth projective surface defined over an algebraically closed field k with char k ≠ 2, and let π : X → Y be a double covering branched along a smooth divisor. We show that Jx is stable with respect to π*H if the tangent bundle Jy is semi-stable with respect to some ample line bundle H on Y. Let Y be a smooth projective surface defined over an algebraically closed field k with char k ≠ 2, and let π : X → Y be a double covering branched along a smooth divisor. We show that Jx is stable with respect to π*H if the tangent bundle Jy is semi-stable with respect to some ample line bundle H on Y.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第8期1039-1047,共9页 数学学报(英文版)
关键词 STABILITY tangent bundle double covering Frobenius morphism Stability, tangent bundle, double covering, Frobenius morphism
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