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Bulletin of the London Mathematical Society Advance Access originally published online on July 17, 2008
Bulletin of the London Mathematical Society 2008 40(5):801-806; doi:10.1112/blms/bdn058
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© 2008 London Mathematical Society

On the extension of real regular embedding

Zbigniew Jelonek

Instytut Matematyczny
Polska Akademia Nauk
Sniadeckich 8
00-956 Warszawa
Poland

Received 31 May 2006. Revision received 27 November 2007.

Let X be a real nonsingular affine algebraic variety of dimension k. It is proved that any two regular (algebraic) embeddings X -> Rn are regularly equivalent, provided that n ≥ 4k + 2.

2000 Mathematics Subject Classification 14R10, 14P15, 14P10

The author is partially supported by a grant of the Polish Ministry of Education 2006–2009.


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