达到塞雷边界的 6 和 10 属新六次体

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2024-01-24 DOI:10.1515/advgeom-2023-0031

Annamaria Iezzi, Motoko Qiu Kawakita, Marco Timpanella

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引用次数: 0

摘要

我们提供了属 6 或属 10 的曲线达到塞雷约束的新例子。它们都属于[19]中介绍的六次方程组，是对 Wiman 的六次方程组[38]和 Edge 的六次方程组[9]的推广。我们的方法基于 Kani 和 Rosen 的一个定理，该定理允许在某些假设条件下完全分解曲线的雅各布。通过我们的研究，我们可以更新表 www.manypoints.org 中的几个条目，参见 [37]。

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New sextics of genus 6 and 10 attaining the Serre bound

We provide new examples of curves of genus 6 or 10 attaining the Serre bound. They all belong to the family of sextics introduced in [19] as a generalization of Wiman’s sextics [38] and Edge’s sextics [9]. Our approach is based on a theorem by Kani and Rosen which allows, under certain assumptions, to fully decompose the Jacobian of the curve. With our investigation we are able to update several entries in the table www.manypoints.org, see [37].

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.