Geodesic
Cremona Maps of de Jonquières Type
Canadian journal of mathematics, Tome 67 (2015) no. 4, pp. 923-941

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DOI

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.
DOI : 10.4153/CJM-2014-037-3
Mots-clés : 14E05, 13D02, 13H10, 14E07, 14M05, 14M25, Cremona map, de Jonquières map, Cremona group, minimal free resolution 
Pan, Ivan; Simis, Aron. Cremona Maps of de Jonquières Type. Canadian journal of mathematics, Tome 67 (2015) no. 4, pp. 923-941. doi: 10.4153/CJM-2014-037-3
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     author = {Pan, Ivan and Simis, Aron},
     title = {Cremona {Maps} of de {Jonqui\`eres} {Type}},
     journal = {Canadian journal of mathematics},
     pages = {923--941},
     year = {2015},
     volume = {67},
     number = {4},
     doi = {10.4153/CJM-2014-037-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-037-3/}
}
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