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

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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 languageEnglish
Article number1550098
JournalJournal of Algebra and its Applications
Volume14
Issue number7
DOIs
Publication statusPublished - 2015 Sep 28

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Tangent Bundle
Projective Variety
Simplicity
Ring of Differential Operators
Ring
Flag Variety
Toric Varieties
Partial
Module

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

Cite this

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