This article is cited in 12 papers

Defining relations for the Cremona group of the plane

M. Kh. Gizatullin


Abstract: By methods of the geometry of rational surfaces and the topology of graphs and cell complexes connected with them, the author establishes defining relations, connecting projectives, and quadratic transformations, for the group of birational transformations of the plane over an algebraically closed field.
Bibliography: 11 titles.

UDC: 513.6

MSC: Primary 14E05, 14E07; Secondary 14H35, 05C25, 05C40, 57M15

Received: 29.01.1982

 English version: Mathematics of the USSR-Izvestiya, 1983, 21:2, 211–268

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