Lectures in mathematics : Kyoto University

vol. 5

On automorphism group of k[x, y] / by Masayoshi Nagata
c1972

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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
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