On the zeros and critical points of a rational map
Let f:ℙ1→ℙ1 be a rational map of degree d. It is well known that f has d zeros and 2d−2 critical points counted with multiplicities. In this note, we explain how those zeros and those critical points are related.
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201011589 |
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| _version_ | 1832555951093186560 |
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| author | Xavier Buff |
| author_facet | Xavier Buff |
| author_sort | Xavier Buff |
| collection | DOAJ |
| description | Let f:ℙ1→ℙ1 be a rational map of degree d. It is well known that f has d zeros and 2d−2 critical points counted with multiplicities. In this note, we
explain how those zeros and those critical points are related. |
| format | Article |
| id | doaj-art-beb054a0d6a344f2bad0014562a59980 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-beb054a0d6a344f2bad0014562a599802025-02-03T05:46:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128424324610.1155/S0161171201011589On the zeros and critical points of a rational mapXavier Buff0Université Paul Sabatier, Laboratoire Emile Picard, 118, Route de Narbonne, Toulouse Cedex 31062, FranceLet f:ℙ1→ℙ1 be a rational map of degree d. It is well known that f has d zeros and 2d−2 critical points counted with multiplicities. In this note, we explain how those zeros and those critical points are related.http://dx.doi.org/10.1155/S0161171201011589 |
| spellingShingle | Xavier Buff On the zeros and critical points of a rational map International Journal of Mathematics and Mathematical Sciences |
| title | On the zeros and critical points of a rational map |
| title_full | On the zeros and critical points of a rational map |
| title_fullStr | On the zeros and critical points of a rational map |
| title_full_unstemmed | On the zeros and critical points of a rational map |
| title_short | On the zeros and critical points of a rational map |
| title_sort | on the zeros and critical points of a rational map |
| url | http://dx.doi.org/10.1155/S0161171201011589 |
| work_keys_str_mv | AT xavierbuff onthezerosandcriticalpointsofarationalmap |