A functorial approach to the stability of vector bundles
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929552382492672 |
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| author | Weissmann, Dario |
| author_facet | Weissmann, Dario |
| contents | On a normal projective variety the locus of $μ$-stable bundles that remain $μ$-stable on all Galois covers prime to the characteristic is open in the moduli space of Gieseker semi-stable sheaves. On a smooth projective curve of genus at least 2 this locus is big in the moduli space of stable bundles, i.e., its complement has codimension at least 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_08260 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A functorial approach to the stability of vector bundles Weissmann, Dario Algebraic Geometry On a normal projective variety the locus of $μ$-stable bundles that remain $μ$-stable on all Galois covers prime to the characteristic is open in the moduli space of Gieseker semi-stable sheaves. On a smooth projective curve of genus at least 2 this locus is big in the moduli space of stable bundles, i.e., its complement has codimension at least 2. |
| title | A functorial approach to the stability of vector bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2211.08260 |