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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 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.
| Autorius: | Mohamed Farahat |
| Leidėjas: | Noor Publishing |
| Išleidimo metai: | 2016 |
| Knygos puslapių skaičius: | 104 |
| ISBN-10: | 3330841176 |
| ISBN-13: | 9783330841178 |
| Formatas: | 220 x 150 x 7 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Higher order Weierstrass points on genus two curves“
