A Moduli Space of Stable Sheaves on a Cubic Threefold

ABSTRACT In this paper, we prove that the moduli space of Gieseker semistable sheaves on a smooth cubic threefold with Chern character is non‐empty, smooth, and irreducible of dimension 8. Moreover, we show that is isomorphic to a Bridgeland moduli space in the Kuznetsov component of and provide a set‐theoretic description of it.

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Publication Details

Journal
Mathematische Nachrichten
Published
2026-07-28
DOI
https://doi.org/10.1002/mana.70214
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

A Moduli Space of Stable Sheaves on a Cubic Threefold

Song Yang, Shihao Ma
Mathematische Nachrichten
Algebraic Geometry and Number Theory
article

A Moduli Space of Stable Sheaves on a Cubic Threefold

Song Yang, Shihao Ma
article en

Abstract

ABSTRACT In this paper, we prove that the moduli space of Gieseker semistable sheaves on a smooth cubic threefold with Chern character is non‐empty, smooth, and irreducible of dimension 8. Moreover, we show that is isomorphic to a Bridgeland moduli space in the Kuznetsov component of and provide a set‐theoretic description of it.

Mathematische Nachrichten
Tianjin University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 95%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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