A remark on bigness of the tangent bundle of a smooth projective variety and D-simplicity of its section rings

作者：Hsiao Jen Chieh^*

来源：Journal of Algebra and Its Applications, 2015, 14(7): 1550098.

DOI：10.1142/S021949881550098X

• Big vector bundle
• tangent bundle
• D-simple ring

We point out a connection between bigness of the tangent bundle of a smooth projective variety X over C and simplicity of the section rings of X as modules over their rings of differential operators. As a consequence, we see that the tangent bundle of a smooth projective toric variety or a (partial) flag variety is big. Some other applications and related questions are discussed.

• 出版日期2015-9