论文标题
具有非伪造性切线束的Fano歧管的示例
Examples of Fano manifolds with non-pseudoeffective tangent bundle
论文作者
论文摘要
令$ x $为fano歧管。虽然许多作者已经研究了反典型的除数$ -K_X $及其倍数的属性,但切线束的积极性$ t_x $更加难以捉摸。我们为Del Pezzo表面,投射空间中的Hypersurfaces和Del Pezzo Trix forthe提供了$ t_x $的伪反应性的完整表征。
Let $X$ be a Fano manifold. While the properties of the anticanonical divisor $-K_X$ and its multiples have been studied by many authors, the positivity of the tangent bundle $T_X$ is much more elusive. We give a complete characterisation of the pseudoeffectivity of $T_X$ for del Pezzo surfaces, hypersurfaces in the projective space and del Pezzo threefolds.