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Classification of algebraic non-ruled surfaces with sectional genus less than or equal to six

Published online by Cambridge University Press:  22 January 2016

Elvira Laura Livorni*
Affiliation:
Istituto di Matematica Universita’ Degli Studi Dell’ Aquila Degli Abruzzi, via Roma, 33, 67100 L’AQUILA, Italy
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In this paper we have given a biholomorphic classification of smooth, connected, protective, non-ruled surfaces X with a smooth, connected, hyperplane section C relative to L, where L is a very ample line bundle on X, such that g = g(C) = g(L) is less than or equal to six. For a similar classification of rational surfaces with the same conditions see [Li].

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1985

References

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