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Jordan constants of Cremona group of rank 2 over fields of characteristic zero

Alexandr Zaitsev

Abstract

In this paper we compute the Jordan constants of the Cremona group of rank two over all fields of characteristic zero.

Jordan constants of Cremona group of rank 2 over fields of characteristic zero

Abstract

In this paper we compute the Jordan constants of the Cremona group of rank two over all fields of characteristic zero.
Paper Structure (5 sections, 24 theorems, 46 equations)

This paper contains 5 sections, 24 theorems, 46 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Automorphisms of conic bundles
  4. Del Pezzo surfaces
  5. Jordan constants of Cremona group of rank 2

Key Result

Theorem 1.2

Let $K$ be an algebraically closed field of characteristic $0$. Then

Theorems & Definitions (44)

  • Definition 1.1: Pop
  • Theorem 1.2: Yas
  • Theorem 1.3
  • Corollary 1.4
  • Definition 2.1
  • Theorem 2.2: see Isaacs
  • Proposition 2.3: Zai
  • Proposition 2.4: Zai
  • Proposition 2.5: cf. Bea
  • Lemma 2.6
  • ...and 34 more