Cremona Maps of de Jonquières Type. (1st August 2015)
- Record Type:
- Journal Article
- Title:
- Cremona Maps of de Jonquières Type. (1st August 2015)
- Main Title:
- Cremona Maps of de Jonquières Type
- Authors:
- Pan, Ivan
Simis, Aron - Abstract:
- Abstract: 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.
- Is Part Of:
- Canadian journal of mathematics. Volume 67:Number 4(2015)
- Journal:
- Canadian journal of mathematics
- Issue:
- Volume 67:Number 4(2015)
- Issue Display:
- Volume 67, Issue 4 (2015)
- Year:
- 2015
- Volume:
- 67
- Issue:
- 4
- Issue Sort Value:
- 2015-0067-0004-0000
- Page Start:
- 923
- Page End:
- 941
- Publication Date:
- 2015-08-01
- Subjects:
- 14E05 -- 13D02 -- 13H10 -- 14E07 -- 14M05 -- 14M25
Cremona map -- de Jonquières map -- Cremona group -- minimal free resolution
Mathematics -- Periodicals
Mathematics
Electronic journals
Periodicals
510 - Journal URLs:
- https://www.cambridge.org/core/journals/canadian-journal-of-mathematics ↗
- DOI:
- 10.4153/CJM-2014-037-3 ↗
- Languages:
- English
- ISSNs:
- 0008-414X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 24164.xml