用铅笔计算Clifford指数的K3曲面上的Lazarsfeld-Mukai束

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-05-19 DOI:10.1556/012.2022.01518

Sarbeswar Pal

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引用次数: 0

摘要

设X是复数上的光滑投影K3曲面，设C是X上的一条充裕曲线。本文研究了与C上的线束a相关联的Lazarsfeld-Mukai束EC, a的半稳定性，使得a是C上的铅笔，并计算了C的Clifford指数，给出了EC, a是半稳定的充分必要条件。

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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Lazarsfeld-Mukai Bundles on K3 Surfaces Associated with a Pencil Computing the Clifford Index

Let X be a smooth projective K3 surface over the complex numbers and let C be an ample curve on X. In this paper we will study the semistability of the Lazarsfeld-Mukai bundle EC,A associated to a line bundle A on C such that |A| is a pencil on C and computes the Clifford index of C. We give a necessary and sufficient condition for EC,A to be semistable.

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.