The paper's central resonance condition on Kovalevskaya exponents rests on a false combinatorial lemma, and its Frobenius manifold and symplectic pairing theorems contain unproved or internally inconsistent steps.
Chiba, The third, fifth and sixth Painlev´ e equations on weighted projective spaces,SIGMA12(2016), 019
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Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property
The paper's central resonance condition on Kovalevskaya exponents rests on a false combinatorial lemma, and its Frobenius manifold and symplectic pairing theorems contain unproved or internally inconsistent steps.