✦ LIBER ✦
The explicit factorization of the Cremona transformation which is an extension of the Nagata automorphism into elementary links
✍ Scribed by Takashi Kishimoto
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 201 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We consider the Cremona transformation Φ~σ~ : ℙ^3^ … → ℙ^3^ which is an extension of the famous Nagata automorphism σ on the affine 3‐space 𝔸^3^. In this paper we shall factorize this Cremona transformation Φ~σ~ explicitly into 8 elementary links according to the Sarkisov Program. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)