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
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
Publisher:	KYOTO UNIV
ISSN:	0034-5318
Date:	December 1994
Volume:	30
Number:	5
Number of Pages:	33
Page Range:	pp. 695-727
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/19840

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