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Asymptotic behaviour of families of real curves |
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| Authors: | Mihai Tibăr Alexandru Zaharia |
| Institution: | Mathématiques, UMR 8524 CNRS, Université de Lille 1, F-59655 Villeneuve d'Ascq Cedex, France and Institute of Mathematics, Romanian Academy, Bucharest.?e-mail: tibar@gat.univ-lille1.fr, FR Department of Mathematics, University of Toronto, Toronto M5S 3G3, Ontario, Canada and Institute of Mathematics, Romanian Academy, Bucharest.?e-mail: zaharia@math.toronto.edu, US |
| Abstract: | We consider the family of fibres of a polynomial function f on a smooth noncompact algebraic real surface and we characterise the regular fibres of f which are atypical due to their asymptotic behaviour at infinity. We compare to the similar problem in the complex case. Received: 5 May 1998 / Revised version: 20 March 1999 |
| Keywords: | Mathematics Subject Classification (1991): 14H10 57R27 14D99 |
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