论文标题
关于不可舒服的Hermitian对称空间上扭曲的对称张量场的伪源阈值和共同体学
On pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces
论文作者
论文摘要
令$ x $为紧凑型类型的不可约性的Hermitian对称空间（简称IHSS）。在本文中，我们给出了$ sym^r t_x $的不可约分解。作为副产品，我们给出了$ x $等级的共同体特征。此外，我们引入了伪芬阈值，以精确地测量光滑复杂的射弹性品种的切线束的束缚，并为不可减至的紧凑型式偏远的对称空间计算它们。
Let $X$ be an irreducible Hermitian symmetric space of compact type (IHSS for short). In this paper, we give the irreducible decomposition of $Sym^r T_X$. As a by-product, we give a cohomological characterization of the rank of $X$. Moreover, we introduce pseudoeffective thresholds to measure the bigness of tangent bundles of smooth complex projective varieties precisely and calculate them for irreducible Hermitian symmetric spaces of compact type.
