Field generators in two variables and birational endomorphisms of 𝔸2-Reference-Cited by-同舟云学术

Field generators in two variables and birational endomorphisms of 𝔸2

Published:2015-07-10 Issue:09 Volume:14 Page:1540005
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Cassou-Noguès Pierrette¹,Daigle Daniel²

Affiliation:

1. IMB, Université Bordeaux 1, 351 Cours de la Libération, 33405, Talence Cedex, France

2. Department of Mathematics and Statistics, University of Ottawa, Ottawa, Canada K1N 6N5, Canada

Abstract

This paper is a survey of two subjects: the first part is devoted to field generators in two variables, and the second to birational endomorphisms of the affine plane. Each one of these subjects originated in Abhyankar's seminar in Purdue University in the 1970s. Note that the part on field generators is more than a survey, since it contains a considerable amount of new material.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498815400058

Reference11 articles.

1. Dicritical divisors and Jacobian problem

2. Bad field generators

3. P. Cassou-Noguès, Affine Algebraic Geometry, CRM Proceedings Lecture Notes 54 (American Mathematical Society, Providence, RI, 2011) pp. 1–19.

4. Compositions of birational endomorphisms of the affine plane

5. Birational endomorphisms of the affine plane

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