Decorated sheaves and morphisms in tilted hearts
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866913569126219776 |
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| author | Lin, Yinbang Wang, Sz-Sheng Xia, Bingyu |
| author_facet | Lin, Yinbang Wang, Sz-Sheng Xia, Bingyu |
| contents | We identify limit stable pairs and stable framed sheaves as epimorphisms and monomorphisms, respectively, in tilts of the standard heart, under suitable conditions. We then identify the moduli spaces with the corresponding Quot spaces, obtaining the projectivity of the Quot spaces in these cases. We also prove a formula in a motivic Hall algebra relating the Quot spaces under a tilt. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_12618 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Decorated sheaves and morphisms in tilted hearts Lin, Yinbang Wang, Sz-Sheng Xia, Bingyu Algebraic Geometry 14D20, 14F08 (Primary) 14D22, 14D23 (Secondary) We identify limit stable pairs and stable framed sheaves as epimorphisms and monomorphisms, respectively, in tilts of the standard heart, under suitable conditions. We then identify the moduli spaces with the corresponding Quot spaces, obtaining the projectivity of the Quot spaces in these cases. We also prove a formula in a motivic Hall algebra relating the Quot spaces under a tilt. |
| title | Decorated sheaves and morphisms in tilted hearts |
| topic | Algebraic Geometry 14D20, 14F08 (Primary) 14D22, 14D23 (Secondary) |
| url | https://arxiv.org/abs/2104.12618 |