上一维轮轴的新模空间

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2023-09-18 DOI:10.1017/nmj.2023.26

DAPENG MU

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引用次数: 0

摘要

摘要在$\mathbb {P}^n$上定义了一类一维桥地稳定性条件，称为“欧拉”稳定性条件。我们推测相干轴的“欧拉”稳定性条件收敛于Gieseker稳定性。本文以${\mathbb P}^3$为中心，首先确定了具有双倾斜稳定性条件的欧拉稳定条件，然后考虑了一维滑轮的模，证明了一些渐近结果，证明了墙体的有界性，然后显式地计算了在$3$和$4$有理曲线上支撑的滑轮的墙体和过墙。

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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NEW MODULI SPACES OF ONE-DIMENSIONAL SHEAVES ON

Abstract We define a one-dimensional family of Bridgeland stability conditions on $\mathbb {P}^n$ , named “Euler” stability condition. We conjecture that the “Euler” stability condition converges to Gieseker stability for coherent sheaves. Here, we focus on ${\mathbb P}^3$ , first identifying Euler stability conditions with double-tilt stability conditions, and then we consider moduli of one-dimensional sheaves, proving some asymptotic results, boundedness for walls, and then explicitly computing walls and wall-crossings for sheaves supported on rational curves of degrees $3$ and $4$ .

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来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.