达到Serre界的五次广义Howe曲线
Generalised Howe curves of genus five attaining the Serre bound
AI总结：
研究发现五次非超椭圆广义Howe曲线及其扭转在特定有限域上达到Hasse-Weil-Serre界，还能在假设下完全分解雅可比并确定对应有限域的精确条件。
摘要：
我们发现五次非超椭圆广义Howe曲线及其扭转在素数p的某些p、p²或p³阶有限域上达到Hasse-Weil-Serre界。在特定假设下，我们能完全分解其雅可比，并确定它们达到Hasse-Weil-Serre界的有限域的精确条件。
英文摘要：
We find that non-hyperelliptic generalised Howe curves and their twists of genus 5 attain the Hasse-Weil-Serre bound over some finite fields of order p, p^2 or p^3 for a prime p. We are able to decompose their Jacobians completely under certain assumptions and to determine the precise condition on the finite field over which they attain the Hasse-Weil-Serre bound.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
