The Curve of Genus 2 with Reducible Integrals
β Scribed by Val, P. D.
- Book ID
- 120097172
- Publisher
- Oxford University Press
- Year
- 1969
- Tongue
- English
- Weight
- 46 KB
- Volume
- s2-1
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let C be a curve of genus 2 and Ο 1 : C -β E 1 a map of degree n, from C to an elliptic curve E 1 , both curves defined over C. This map induces a degree n map Ο 1 : P 1 -β P 1 which we call a Frey-Kani covering. We determine all possible ramifications for Ο 1 . If Ο 1 : C -β E 1 is maximal then the
Genus 2 manifolds are a convenient and accessible place to introduce an interesting condition on Heegaard splittings, called the disjoint curve property. This paper will describe the disjoint curve property and its ramifications for understanding genus 2 manifolds, and use it to find a necessary con