Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces  

作　　者：Feng Shao 

机构地区：[1]Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [2]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Science China Mathematics》2024年第11期2433-2452,共20页中国科学（数学英文版）

摘　　要：Let X be an irreducible Hermitian symmetric space of compact type(IHSS for short).In this paper,we give the irreducible decomposition of SymrTX.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.

关 键 词：tangent bundle pseudoeffective threshold irreducible Hermitian symmetric space of compact type(IHSS) multiplicity free action 

分 类 号：O186.1[理学—数学]