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.
Shioda, An example of unirational surfaces in characteristic p , Math.\ Ann.\ 211 (1974), 233--236
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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.