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

Research output: Contribution to journalArticlepeer-review

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

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'A remark on bigness of the tangent bundle of a smooth projective variety and D-simplicity of its section rings'. Together they form a unique fingerprint.

Cite this