I am reading the paper Frobenius splitting of Hilbert schemes of points on surfaces by Kummar and Thomsen. At the end of Lemma 11, they seem to imply that the dualizing sheaf on a Cohen-Macaulay scheme is reflexive. I am not familiar with reflexive sheaves, so I would like to ask whether this statement is true or not.

I am reading the paper Frobenius splitting of Hilbert schemes of points on surfaces by Kumar and Thomsen. At the end of Lemma 11, they seem to imply that the dualizing sheaf on a Cohen-Macaulay scheme is reflexive. I am not familiar with reflexive sheaves, so I would like to ask whether this statement is true or not.

I am reading this paper Frobenius splitting of Hilbert schemes of points on surfaces by Kummar and Thomsen. At the end of Lemma 11, they seem to imply that the dualizing sheaf on a Cohen-Macaulay scheme is reflexive. I am not familiar with reflexive sheaf, so I would like to ask whether this statement is true or not?

I am reading the paper Frobenius splitting of Hilbert schemes of points on surfaces by Kummar and Thomsen. At the end of Lemma 11, they seem to imply that the dualizing sheaf on a Cohen-Macaulay scheme is reflexive. I am not familiar with reflexive sheaves, so I would like to ask whether this statement is true or not.