## Hokkaido Mathematical Journal

### On the class of projective surfaces of general type

#### 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.

#### Article information

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

Dates
First available in Project Euclid: 7 November 2017

https://projecteuclid.org/euclid.hokmj/1510045305

Digital Object Identifier
doi:10.14492/hokmj/1510045305

Mathematical Reviews number (MathSciNet)
MR3720336

Zentralblatt MATH identifier
06814870

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

#### Citation

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