首页|Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces
Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces
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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.
tangent bundlepseudoeffective thresholdirreducible Hermitian symmetric space of compact type(IHSS)multiplicity free action
Feng Shao
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Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China
School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China