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.