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العنوان
Groups generated by sextactic points in the jacobian of some algebraic curves /
المؤلف
Elshareef, Waleed Khaled Hassaan.
هيئة الاعداد
باحث / وليد خالد خلف حسان
مشرف / محمود على ابو العز
mabulez@science.sohag.edu.eg/
مشرف / احمد ابو المجد سليمان
ahmed_soliman@science.sohag.edu.eg/
مشرف / محمد ابو الحسن سليم
mohamed_ahmed2@science.sohag.edu.eg/
مشرف / الوليد كامل عبد العال
elwalid_ibrahim@science.sohag.edu.eg/
الموضوع
Pure Mathematics.
تاريخ النشر
2022.
عدد الصفحات
95 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
29/3/2022
مكان الإجازة
جامعة سوهاج - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

This thesis deals with the geometey of the algebraic curves and their jacobians. Its main purpose is the study of the group generated in the jacobian by the sextactic points for 2. Asmooth point P E C is called aflex point if the tangent line Tp meets C at p with intersection multiplicity at least three. IP (C;TP )  3.
Let P beanon-‡exsmoothpointonaplanecurve C ofdegree d  3. Then
thereisauniqueirreducibleconic P intersectingthecurve C withintersection
multiplicity IP (C;P )  5. Thisconic P iscalledthe osculatingconic of C at P.
Inthiscase,thispoint P 2 C iscalleda sextacticpoint iftheosculatingconic P
meets C at P withintersectionmultiplicityatleastsix,i.e.,if IP (C;P )  6 and
theosculatingconiciscalleda sextacticconic. Furthermore,asextacticpoint P 2 C
iscalled s-sextactic if s = IP (C;P )