Sheaves of low rank in three dimensional projective space
We classify Chern characters of semistable sheaves up to rank four in three dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and irreducible.
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| Published in | arXiv.org |
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| Main Author | |
| Format | Paper |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
06.11.2023
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We classify Chern characters of semistable sheaves up to rank four in three dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and irreducible. |
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| ISSN: | 2331-8422 |