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Transcendental submanifolds of \(\mathbb{R}\mathbb{P}^n\) - MaRDI portal

Transcendental submanifolds of \(\mathbb{R}\mathbb{P}^n\) (Q2483787)

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Transcendental submanifolds of \(\mathbb{R}\mathbb{P}^n\)
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    Transcendental submanifolds of \(\mathbb{R}\mathbb{P}^n\) (English)
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    1 August 2005
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    Summary: In this paper we give examples of closed smooth submanifolds of \(\mathbb R\mathbb P^n\) which are isotopic to nonsingular projective subvarieties of \(\mathbb R\mathbb P^n\) but they can not be isotopic to the real parts of nonsingular complex projective subvarieties of \(\mathbb C\mathbb P^n\).
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    real algebraic sets
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