k3曲面上的尖曲线是有理椭圆曲面的双重覆盖

IF 0.3 Q4 MATHEMATICS Tsukuba Journal of Mathematics Pub Date : 2023-07-01 DOI:10.21099/tkbjm/20234701065

Jiryo Komeda, Makiko Mase

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引用次数: 0

摘要

本文在某种程度上是[4]的延续。我们在[1]中处理的K3曲面上构造了点曲线，K3曲面是有理椭圆曲面的双重覆盖。在某些情况下，我们计算了点曲线的Weierstrass半群。这些尖曲线是K3曲面上的第一个例子，它是有理椭圆曲面的双重覆盖，这样我们就可以计算weerstrass半群。此外，我们还在某些K3曲面上给出了9属或10属的双椭圆曲线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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POINTED CURVES ON K3 SURFACES WHICH ARE DOUBLE COVERS OF RATIONAL ELLIPTIC SURFACES

This article is a continuation of [4] in a way. We construct pointed curves on the K3 surfaces treated in [1] which are double covers of rational elliptic surfaces. In some cases we calculate the Weierstrass semigroups of the pointed curves. These pointed curves are the first examples on K3 surfaces that are double covers of rational elliptic surfaces such that we can calculate the Weierstrass semigroups. Moreover, we give bi-elliptic curves of genus 9 or 10 on some such K3 surfaces.

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Tsukuba Journal of Mathematics MATHEMATICS-

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14.30%

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