## Advanced Studies in Pure Mathematics

- Adv. Stud. Pure Math.
- Algebraic Geometry in East Asia — Seoul 2008, J. H. Keum, S. Kondō, K. Konno and K. Oguiso, eds. (Tokyo: Mathematical Society of Japan, 2010), 301 - 330

### Separable endomorphisms of surfaces in positive characteristic

#### Abstract

The structure of non-singular projective surfaces admitting nonisomorphic surjective separable endomorphisms is studied in the positive characteristic case. The case of characteristic zero is treated in [2], [16] (cf. [3]). Many similar classification results are obtained also in this case; on the other hand, some examples peculiar to the positive characteristic are given explicitly.

#### Article information

**Dates**

Received: 19 May 2009

Revised: 1 September 2009

First available in Project Euclid:
24 November 2018

**Permanent link to this document**

https://projecteuclid.org/
euclid.aspm/1543085646

**Digital Object Identifier**

doi:10.2969/aspm/06010301

**Mathematical Reviews number (MathSciNet)**

MR2761933

**Zentralblatt MATH identifier**

1267.14051

**Subjects**

Primary: 14J26: Rational and ruled surfaces 14J27: Elliptic surfaces 14J10: Families, moduli, classification: algebraic theory

**Keywords**

Endomorphism ruled surface elliptic surface positive characteristic

#### Citation

Nakayama, Noboru. Separable endomorphisms of surfaces in positive characteristic. Algebraic Geometry in East Asia — Seoul 2008, 301--330, Mathematical Society of Japan, Tokyo, Japan, 2010. doi:10.2969/aspm/06010301. https://projecteuclid.org/euclid.aspm/1543085646