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.
Mallory, Bigness of the tangent bundle of del P ezzo surfaces and D -simplicity , Algebra Number Theory 15 (2021), 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.