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Transactions of the American Mathematical Society

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On the canonical rings of some Horikawa surfaces. I


Author: Valentin Iliev
Journal: Trans. Amer. Math. Soc. 309 (1988), 309-323
MSC: Primary 14J29
DOI: https://doi.org/10.1090/S0002-9947-1988-0957073-6
MathSciNet review: 957073
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Abstract: This paper is devoted to finding necessary and sufficient conditions for a graded ring to be the canonical ring of a minimal surface of general type with $ {K^2} = 2{p_g} - 3$, $ {p_g} \geqslant 3$, and such that its canonical linear system has one base point.


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DOI: https://doi.org/10.1090/S0002-9947-1988-0957073-6
Keywords: Surface of general type, canonical ring
Article copyright: © Copyright 1988 American Mathematical Society

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