某些K3曲面上超平面剖面的子铅笔分类

IF 0.7 3区数学 Q2 MATHEMATICS

Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-10-23 DOI:10.1017/s0013091523000561

Tomokuni Takahashi

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引用次数: 0

摘要

摘要对K3曲面上的超平面截面的完全线性系统的子笔进行了分类，得到了超二次曲面和超三次曲面的完全交点。分类从三个方面进行，即一般纤维的类型，基础轨迹和基本成员的堀川指数。这种分类显示了不同的现象，这取决于包含曲面的超二次曲面的秩。

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Classification of Subpencils for Hyperplane Sections on Certain K3 Surfaces

Abstract We classify the subpencils of complete linear systems for the hyperplane sections on K3 surfaces obtained as the complete intersection of a hyperquadric and a hypercubic. The classification is done from three points of view, namely, the type of a general fibre, the base locus and the Horikawa index of the essential member. This classification shows the distinct phenomenons depending on the rank of the hyperquadrics containing the surface.

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来源期刊

Proceedings of the Edinburgh Mathematical Society 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Edinburgh Mathematical Society was founded in 1883 and over the years, has evolved into the principal society for the promotion of mathematics research in Scotland. The Society has published its Proceedings since 1884. This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.