Geodesic
On the extendability of quadratic polynomial mappings of the plane
Ewa Ligocka1
1Pasteura 4/6 m. 31 02-093 Warszawa, Poland
Annales Polonici Mathematici, Tome 96 (2009) no. 3, pp. 283-294
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We shall prove, using the result from our previous paper [Ann. Polon. Math. 88 (2006)], that for a quadratic polynomial mapping $Q$ of $\mathbb R^2$ only the geometric shape of the critical set of $Q$ determines whether the complexification of $Q$ can be extended to an endomorphism of $\mathbb C{\mathbb P}^2$. At the end of the paper we describe some interesting classes of quadratic polynomial mappings of $\mathbb R^2$ and give some examples.
DOI : 10.4064/ap96-3-6
Keywords: shall prove using result previous paper ann polon math quadratic polynomial mapping mathbb only geometric shape critical set determines whether complexification extended endomorphism mathbb mathbb end paper describe interesting classes quadratic polynomial mappings mathbb examples

Ewa Ligocka  1

1 Pasteura 4/6 m. 31 02-093 Warszawa, Poland 
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Ewa Ligocka. On the extendability of quadratic polynomial mappings of the plane. Annales Polonici Mathematici, Tome 96 (2009) no. 3, pp. 283-294. doi: 10.4064/ap96-3-6

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