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NONNORMAL DEL PEZZO SURFACES
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UNSPECIFIED (1994) NONNORMAL DEL PEZZO SURFACES. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 30 (5). pp. 695-727. ISSN 0034-5318.
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Abstract
This paper studies reduced, connected, Gorenstein surfaces with ample-k assumed to be reducible or nonnormal. The normalisation is a union of one or more standard surfaces (scrolls and Veronese surfaces), marked with a conic as double locus. The question is how to glue these together to get a Gorenstein scheme. In characteristic 0, the results amount to a classification of projective surfaces in the style of the 1880s. However, the methods involve a study of the dualising sheaf of a nonnormal variety in terms of Rosenlicht differentials, and there is a subtle pathology in characteristic p due to Mori and S. Goto.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | ||||
Publisher: | KYOTO UNIV | ||||
ISSN: | 0034-5318 | ||||
Official Date: | December 1994 | ||||
Dates: |
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Volume: | 30 | ||||
Number: | 5 | ||||
Number of Pages: | 33 | ||||
Page Range: | pp. 695-727 | ||||
Publication Status: | Published |
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