Existence of the non-primitive Weierstrass gap sequences on curves of genus 8 |
| |
Authors: | Jiryo Komeda Akira Ohbuchi |
| |
Institution: | (1) Department of Mathematics, Center for Basic Education and Integrated Learning, Kanagawa Institute of Technology, Atsugi, 243-0292, JAPAN;(2) Department of Mathematics, Faculty of Integrated Arts and Sciences, Tokushima University, Tokushima, 770-8502, JAPAN |
| |
Abstract: | We show that for any possible Weierstrass gap sequence L on a non-singular curve of genus 8 with twice the smallest positive non-gap is less than the largest gap there exists a pointed
non-singular curve (C, P) over an algebraically closed field of characteristic 0 such that the Weierstrass gap sequence at P is L. Combining this with the result in 6] we see that every possible Weierstrass gap sequence of genus 8 is attained by some
pointed non-singular curve.
*Partially supported by Grant-in-Aid for Scientific Research (17540046), Japan Society for the Promotion of Science.
**Partially supported by Grant-in-Aid for Scientific Research (17540030), Japan Society for the Promotion of Science. |
| |
Keywords: | Weierstrass semigroup of a point Double covering of a curve Cyclic covering of an elliptic curve |
本文献已被 SpringerLink 等数据库收录! |
|