Determinants, even instantons and Bridgeland stability
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909330984402944 |
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| author | Pretti, Victor |
| author_facet | Pretti, Victor |
| contents | We provide a systematic way of calculating a quiver region associated to a given exceptional collection, which as an application is used to prove that $μ$-stable sheaves represented by $2$-step complexes are Bridgeland stable. In the later sections, we focus on the case of even rank $2$ instantons over $\mathbb{P}^3$ and $Q_3$ to prove that the instanton sheaves, instanton bundles and perverse instantons are Bridgeland stable and provide a description of the moduli space near their only actual wall. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_07170 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Determinants, even instantons and Bridgeland stability Pretti, Victor Algebraic Geometry 14F08 We provide a systematic way of calculating a quiver region associated to a given exceptional collection, which as an application is used to prove that $μ$-stable sheaves represented by $2$-step complexes are Bridgeland stable. In the later sections, we focus on the case of even rank $2$ instantons over $\mathbb{P}^3$ and $Q_3$ to prove that the instanton sheaves, instanton bundles and perverse instantons are Bridgeland stable and provide a description of the moduli space near their only actual wall. |
| title | Determinants, even instantons and Bridgeland stability |
| topic | Algebraic Geometry 14F08 |
| url | https://arxiv.org/abs/2208.07170 |