Higher order Weierstrass points on genus two curves - Farahat, Mohamed
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
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.