Advanced Studies in Pure Mathematics

Separable endomorphisms of surfaces in positive characteristic

Noboru Nakayama

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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

Source
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

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


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