## Duke Mathematical Journal

### Surfaces with a hyperelliptic hyperplane section

Lawrence Ein

#### Article information

Source
Duke Math. J., Volume 50, Number 3 (1983), 685-694.

Dates
First available in Project Euclid: 20 February 2004

https://projecteuclid.org/euclid.dmj/1077303329

Digital Object Identifier
doi:10.1215/S0012-7094-83-05032-9

Mathematical Reviews number (MathSciNet)
MR714824

Zentralblatt MATH identifier
0561.14014

#### Citation

Ein, Lawrence. Surfaces with a hyperelliptic hyperplane section. Duke Math. J. 50 (1983), no. 3, 685--694. doi:10.1215/S0012-7094-83-05032-9. https://projecteuclid.org/euclid.dmj/1077303329

#### References

• [1] E. Bombieri, Canonical models of surfaces of general type, Inst. Hautes Études Sci. Publ. Math. (1973), no. 42, 171–219.
• [2] T. Fujita, On hyperelliptic polarized varieties, (preprint).
• [3] W. Fulton and R. Lazarsfeld, Connectivity and its applications in algebraic geometry, Algebraic geometry (Chicago, Ill., 1980), Lecture Notes in Math., vol. 862, Springer, Berlin, 1981, pp. 26–92.
• [4] R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, vol. 52, Springer-Verlag, New York, 1977.
• [5] P. Ionescu, An enumeration of all smooth projective varieties of degree $5$ and $6$, Increst Preprint Series Math. 74, 1981.
• [6] C. P. Ramanujam, Remarks on the Kodaira vanishing theorem, J. Indian Math. Soc. (N.S.) 36 (1972), 41–51.
• [7] A. J. Sommese, Hyperplane sections of projective surfaces. I. The adjunction mapping, Duke Math. J. 46 (1979), no. 2, 377–401.
• [8] A. Van de Ven, On the $2$-connectedness of very ample divisors on a surface, Duke Math. J. 46 (1979), no. 2, 403–407.