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.
Yekutieli, An explicit construction of the G rothendieck residue complex (with an appendix by P
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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.