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Title: On automorphism group of k[x, y]
Authors: Nagata, Masayoshi
Author's alias: 永田, 雅宜
Keywords: Automorphisms
Commutative rings
Polynomial rings
Issue Date: 1972
Publisher: Kinokuniya
Journal title: Lectures in Mathematics
Volume: 5
Table of contents: Part 0 Introduction and Preliminaries [1]
Introduction [1]
0.2 Some easy results related to the statements in Introduction [5]
0.3 The easy case, n = 1 [7]
0.4 Prerequisites, notation and terminology [7]
0.5 Infinitely near points [9]
Part 1 The case n = 2 and k is a field [18]
1.1 A preliminary step [18]
1.2 Geometric proof of (1.8) [21]
1.3 Remarks to the proof [28]
1.4 Another proof [32]
1.5 One question on rational curves [38]
Part 2 Questions in the general case [41]
2.1 An example [41]
2.2 Another example [44]
2.3 The case of three or more variables [47]
2.4 One more question [51]
References [53]
URI: http://hdl.handle.net/2433/84910
Appears in Collections:Lectures in Mathematics : Department of Mathematics, Kyoto University

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