کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4638547 | 1632008 | 2015 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A connection between birational automorphisms of the plane and linear systems of curves
ترجمه فارسی عنوان
ارتباط بین ماشینهای مغناطیسی بی حرکتی هواپیما و سیستم های خطی منحنی ها
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
In this paper, we prove that there exists a one-to-one correspondence between birational automorphisms of the plane and pairs of pencils of curves intersecting in a unique point. As a consequence, we show how to construct birational automorphisms of the plane of a certain degree d (fixed in advance) from some curves generating two linear systems of curves of degrees d and dË, where dË=dâ2 for d>2, and dË=1 otherwise. In addition, we also get the inverse of the birational automorphism constructed, and we show that its degree is obtained from the degree of the linear system of curves. As a special case, we show how these results can be stated to polynomial birational automorphisms of the plane.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 283, 1 August 2015, Pages 91-105
Journal: Journal of Computational and Applied Mathematics - Volume 283, 1 August 2015, Pages 91-105
نویسندگان
Sonia Pérez-DÃaz, Angel Blasco,