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Geometry of higher order and multiple weierstrass points on some riemann surfaces /

Eslam Esam Ibrahim Badr

Geometry of higher order and multiple weierstrass points on some riemann surfaces / هندسة نقاط فايرشتراس ذوات الرتب العليا والمتعددة على بعض سطوح ريمان Eslam Esam Ibrahim Badr ; Supervised Nabil L. Youssef , Mohammed A. Saleem - Cairo : Eslam Esam Ibrahim Badr , 2013 - 76 P. ; 25cm

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics

In this work we classify the 1- weierstrass point of the kuribayashi quartic curves with two parameters Ü and b defined by the equation Cab :X⁴ +Y +Z⁴+ aX² Y² + b(X² +Y²)Z²= 0 such that (a² - 4)(b² - 4)(a² - 1)(b² - a - 2) 0 . We also investigate the geometry of these points. Moreover we generalize the results obtained to the geometry of the 1- weierstrass point of the kuribayashi quartic vurves with three parameters a, b and c defined by the equation



Flexes Kuribayashi quartics Riemann surfaces