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

Jen Chieh Hsiao

doi:10.1142/S021949881550098X

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

Jen Chieh Hsiao

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

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.

Original language	English
Article number	1550098
Journal	Journal of Algebra and its Applications
Volume	14
Issue number	7
DOIs	https://doi.org/10.1142/S021949881550098X
Publication status	Published - 2015 Sept 28

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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10.1142/S021949881550098X

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

Abstract

All Science Journal Classification (ASJC) codes

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