Proves that homogeneous coordinate rings of non-Fano varieties fail to have finite F-representation type by linking differential operators to global sections of twists of the dual symmetric power of the cotangent sheaf and applying positivity results.
Hsiao, A remark on bigness of the tangent bundle of a smooth projective variety and D -simplicity of its section rings , J.\ Algebra Appl.\ 14 (2015), no
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Finite $F$-representation type for homogeneous coordinate rings of non-Fano varieties
Proves that homogeneous coordinate rings of non-Fano varieties fail to have finite F-representation type by linking differential operators to global sections of twists of the dual symmetric power of the cotangent sheaf and applying positivity results.