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.
Hara, Looking out for frobenius summands on a blown-up surface of P2 , Illinois J
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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.