Abstract
Let $S$ be a smooth complex projective surface of general type, $H$ be a very ample divisor on $S$ and $m(S,H)$ be the class of $(S,H)$. In this paper, we study a lower bound for $m(S,H)-3H^2$ and we improve an inequality obtained by Lanteri. We also study $(S,H)$ with each value of $m(S,H)-3H^2$ and exhibit some examples.
Citation
Yoshiaki FUKUMA. Kazuhisa ITO. "On the class of projective surfaces of general type." Hokkaido Math. J. 46 (3) 407 - 422, October 2017. https://doi.org/10.14492/hokmj/1510045305
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