On the cohomology of regular differential forms and dualizing sheaves

Hübl, Reinhold and Sun, Xiaotao (1998) On the cohomology of regular differential forms and dualizing sheaves. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 126 (7). pp. 1931-1940. ISSN 0002-9939, 1088-6826

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Abstract

If Y is a.local Dedekind scheme and X/Y is a projective Cohen-Macaulay variety of relative dimension 1, then R(1)f(*)omega(X/Y)(1): is torsionfree if and only if X/Y is arithmetically Cohen-Macaulay for a suitable embedding in P-k(n). If X is regular then R(1)f(*)omega(X/Y)(1) is torsionfree whenever the multiplicity of the special fibre is not a multiple of the characteristic of the residue class field.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 21 Feb 2023 07:57
Last Modified: 21 Feb 2023 07:57
URI: https://pred.uni-regensburg.de/id/eprint/49717

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