On the extendability of quadratic polynomial mappings of the plane

• Autorzy: Ewa Ligocka
• Języki publikacji: EN

Abstrakty

EN

We shall prove, using the result from our previous paper [Ann. Polon. Math. 88 (2006)], that for a quadratic polynomial mapping Q of ℝ² only the geometric shape of the critical set of Q determines whether the complexification of Q can be extended to an endomorphism of ℂℙ². At the end of the paper we describe some interesting classes of quadratic polynomial mappings of ℝ² and give some examples.

Kategorie tematyczne

• 30C99: None of the above, but in this section
• 32H50: Iteration problems
• 30C62: Quasiconformal mappings in the plane
• 32D15: Continuation of analytic objects
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 30C10: Polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 96
• Numer: 3
• Strony: 283-294

Daty

wydano

2009

Twórcy

autor

Ewa Ligocka

• Pasteura 4/6 m. 31, 02-093 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap96-3-6