Hokkaido Mathematical Journal

On the class of projective surfaces of general type

Yoshiaki FUKUMA and Kazuhisa ITO

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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.

Article information

Hokkaido Math. J., Volume 46, Number 3 (2017), 407-422.

First available in Project Euclid: 7 November 2017

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14C20: Divisors, linear systems, invertible sheaves
Secondary: 14J29: Surfaces of general type

Class surfaces of general type very ample divisor sectional genus $\Delta$-genus


FUKUMA, Yoshiaki; ITO, Kazuhisa. On the class of projective surfaces of general type. Hokkaido Math. J. 46 (2017), no. 3, 407--422. doi:10.14492/hokmj/1510045305. https://projecteuclid.org/euclid.hokmj/1510045305

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