Cremona Maps of de Jonquières Type
| Autor: | Ivan Edgardo Pan, Aron Simis |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Plane (geometry)
Group (mathematics) General Mathematics 010102 general mathematics Dimension (graph theory) Type (model theory) Characterization (mathematics) Space (mathematics) 01 natural sciences Combinatorics Mathematics - Algebraic Geometry Cremona group 0103 physical sciences Point (geometry) 010307 mathematical physics 0101 mathematics 13D02 13H10 14E05 14E07 14M05 14M25 Mathematics |
| Zdroj: | Canadian Journal of Mathematics. 67:23-941 |
| ISSN: | 1496-4279 0008-414X |
| Popis: | This paper is concerned with suitable generalizations of a plane de Jonquières map to higher dimensional space ℙn with n ≥ 3. For each given point of ℙn there is a subgroup of the entire Cremona group of dimension n consisting of such maps. We study both geometric and group-theoretical properties of this notion. In the case where n = 3 we describe an explicit set of generators of the group and give a homological characterization of a basic subgroup thereof. |
| Databáze: | OpenAIRE |
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