Flops and Hilbert schemes of space curve singularities
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866917314656468992 |
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| author | Diaconescu, Duiliu-Emanuel Porta, Mauro Sala, Francesco Vosoughinia, Arian |
| author_facet | Diaconescu, Duiliu-Emanuel Porta, Mauro Sala, Francesco Vosoughinia, Arian |
| contents | Using pagoda flop transitions between smooth projective threefolds, a relation is derived between the Euler numbers of moduli spaces of stable pairs which are scheme-theoretically supported on a fixed singular space curve and Euler numbers of Flag Hilbert schemes associated to a plane curve singularity. When the space curve singularity is locally complete intersection, one obtains a relation between the latter and Euler numbers of Hilbert schemes of the space curve singularity. It is also shown that this relation yields explicit results for a class of torus-invariant locally complete intersection singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17154 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Flops and Hilbert schemes of space curve singularities Diaconescu, Duiliu-Emanuel Porta, Mauro Sala, Francesco Vosoughinia, Arian Algebraic Geometry High Energy Physics - Theory 14N35 (Primary), 14D23, 14E99, 14F99 (Secondary) Using pagoda flop transitions between smooth projective threefolds, a relation is derived between the Euler numbers of moduli spaces of stable pairs which are scheme-theoretically supported on a fixed singular space curve and Euler numbers of Flag Hilbert schemes associated to a plane curve singularity. When the space curve singularity is locally complete intersection, one obtains a relation between the latter and Euler numbers of Hilbert schemes of the space curve singularity. It is also shown that this relation yields explicit results for a class of torus-invariant locally complete intersection singularities. |
| title | Flops and Hilbert schemes of space curve singularities |
| topic | Algebraic Geometry High Energy Physics - Theory 14N35 (Primary), 14D23, 14E99, 14F99 (Secondary) |
| url | https://arxiv.org/abs/2303.17154 |