D-critical locus structure on the Hilbert schemes of some local toric Calabi-Yau threefolds
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2020
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914958099349504 |
|---|---|
| author | Katz, Sheldon Shi, Yun |
| author_facet | Katz, Sheldon Shi, Yun |
| contents | The notion of a d-critical locus is an ingredient in the definition of motivic Donaldson-Thomas invariants by [BJM19]. In this paper we show that there is a d-critical locus structure on the Hilbert scheme of dimension zero subschemes on some local toric Calabi-Yau 3-folds. We also show that using this d-critical locus structure and a choice of orientation data, the resulting motivic invariants agree with the definition given by the previous work of [BBS13]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_05529 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | D-critical locus structure on the Hilbert schemes of some local toric Calabi-Yau threefolds Katz, Sheldon Shi, Yun Algebraic Geometry The notion of a d-critical locus is an ingredient in the definition of motivic Donaldson-Thomas invariants by [BJM19]. In this paper we show that there is a d-critical locus structure on the Hilbert scheme of dimension zero subschemes on some local toric Calabi-Yau 3-folds. We also show that using this d-critical locus structure and a choice of orientation data, the resulting motivic invariants agree with the definition given by the previous work of [BBS13]. |
| title | D-critical locus structure on the Hilbert schemes of some local toric Calabi-Yau threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2009.05529 |