On the canonical rings of some Horikawa surfaces. I

Iliev, Valentin

doi:10.1090/S0002-9947-1988-0957073-6

On the canonical rings of some Horikawa surfaces. I
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by Valentin Iliev

Trans. Amer. Math. Soc. 309 (1988), 309-323

DOI: https://doi.org/10.1090/S0002-9947-1988-0957073-6

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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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