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Bulletin of the London Mathematical Society Advance Access originally published online on January 28, 2009
Bulletin of the London Mathematical Society 2009 41(1):89-93; doi:10.1112/blms/bdn107
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© 2009 London Mathematical Society

Equivalent birational embeddings

Massimiliano Mella and Elena Polastri

Dipartimento di Matematica
Università di Ferrara
Via Machiavelli 35
44100 Ferrara
Italy
plslne@unife.it

Received 27 March 2008. Revision received 10 July 2008.

Let X be a projective variety of dimension r over an algebraically closed field. It is proven that two birational embeddings of X in Pn with n ≥ r + 2 are equivalent up to Cremona transformations of Pn.

2000 Mathematics Subject Classification 14E25 (primary), 14E08, 14N05, 14E05 (secondary).

The research partially supported by Progetto PRIN 2006 "Geometria sulle varietà algebriche" MUR.


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