Higher order Weierstrass points on genus two curves

ISBN-13: 9783330841178 / Angielski / Miękka / 2016 / 104 str.

Mohamed Farahat

Opis

The study of q-Weierstrass points on a compact Riemann surface is a fascinating topic, rich in geometrical applications and still a flourishing area of research. Around 1893, Hurwitz introduced the space of q-differential as the space of forms of order q on the space of holomorphic differential on a compact Riemann surface. He was led to the concept of what we now call Weierstrass points of order q, or higher order Weierstrass points. It is well known that, for a hyperelliptic curve the set of ordinary Weierstrass points are nothing but its set of the ramifi cation points. In this book, we classify the 3-Weierstrass points on the genus two curves with two parameters. We describe the classification in terms of some invariants maps in its moduli space.

O autorze

Dr. Mohamed FARAHAT, is presently employed as an Associate Professor at Mathematics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt. He obtained his PhD from Saitama University (Japan) in the field of Algebraic Geometry. He also interest by the field of noncommutative ring theory.