ON THE UNIQUENESS OF ELLIPTIC K3 SURFACES WITH MAXIMAL SINGULAR FIBRE

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We explicitly determine the elliptic K3 surfaces with section and maximal singular fibre. If the characteristic of the ground field is different from 2, for each of the two possible maximal fibre types, I-19 and I-14*, the surface is unique. In characteristic 2 the maximal fibre types are I-18 and I-13*, and there exist two (resp. one) one-parameter families of such surfaces.
Publisher
ANNALES INST FOURIER
Issue Date
2013
Language
English
Article Type
Article
Keywords

PENCILS; CURVES

Citation

ANNALES DE L INSTITUT FOURIER, v.63, no.2, pp.689 - 713

ISSN
0373-0956
URI
http://hdl.handle.net/10203/201378
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