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On Surfaces Whose Canonical System is Hyperelliptic

Published online by Cambridge University Press:  20 November 2018

Patrick Du Val
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On a surface F of genus pg = pa = p and linear genus p(1) = n + 1 whose canonical system is irreducible, and which we shall ordinarily think of as simple and free from exceptional curves, the characteristic series of the canonical system is a semicanonical since the adjoint system of the canonical system is its double, so that the canonical series on a curve of the canonical system is its characteristic series doubled.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 4 , 1952 , pp. 204 - 221
Copyright
Copyright © Canadian Mathematical Society 1952

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