3 results
Cremona Maps of de Jonquières Type
-
- Journal:
- Canadian Journal of Mathematics / Volume 67 / Issue 4 / 01 August 2015
- Published online by Cambridge University Press:
- 20 November 2018, pp. 923-941
- Print publication:
- 01 August 2015
-
- Article
-
- You have access
- Export citation
-
This paper is concerned with suitable generalizations of a plane de Jonquières map to higher dimensional space
${{\mathbb{P}}^{n}}$ with 
$n\,\ge \,3$. For each given point of ${{\mathbb{P}}^{n}}$ 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.
Log del Pezzo Surfaces with Simple Automorphism Groups
-
- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 58 / Issue 1 / February 2015
- Published online by Cambridge University Press:
- 10 December 2014, pp. 33-52
-
- Article
- Export citation
Bound for the order for p-elementary subgroups in the plane cremona group over a perfect field
- Part of
-
- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 56 / Issue 2 / June 2013
- Published online by Cambridge University Press:
- 19 November 2012, pp. 509-513
-
- Article
-
- You have access
- Export citation
