Abstract
1. The classification of surfaces whose sections are hyperelliptic has been given by Castelnuovo and that of surfaces with sectional genus π = 3 by Castelnuovo† and Scorza. For higher values of π the work is naturally more complicated and the possible types far more numerous, but the problem is simplified if we restrict ourselves to the investigation of surfaces without singularities, generally lying in space Sr (r > 3). In the present paper we obtain all such surfaces having sectional genus four.
Publisher
Cambridge University Press (CUP)
Cited by
8 articles.
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