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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| prims_57-3-3.pdf | 309.72 kB | Adobe PDF | 見る/開く |
| タイトル: | Arc Spaces and Chiral Symplectic Cores |
| 著者: | Arakawa, Tomoyuki    https://orcid.org/0000-0002-9020-3498 (unconfirmed)Moreau, Anne |
| 著者名の別形: | 荒川, 知幸 |
| キーワード: | arc space vertex algebra Poisson vertex algebra chiral symplectic cores Slodowy slices W-algebra |
| 発行日: | Oct-2021 |
| 出版者: | European Mathematical Society Publishing House Research Institute for Mathematical Sciences of Kyoto University |
| 誌名: | Publications of the Research Institute for Mathematical Sciences |
| 巻: | 57 |
| 号: | 3/4 |
| 開始ページ: | 795 |
| 終了ページ: | 829 |
| 抄録: | We introduce the notion of chiral symplectic cores in a vertex Poisson variety, which can be viewed as analogs of symplectic leaves in Poisson varieties. As an application we show that any quasi-lisse vertex algebra is a quantization of the arc space of its associated variety, in the sense that its reduced singular support coincides with the reduced arc space of its associated variety. We also show that the coordinate ring of the arc space of Slodowy slices is free over its vertex Poisson center, and the latter coincides with the vertex Poisson center of the coordinate ring of the arc space of the dual of the corresponding simple Lie algebra. |
| 著作権等: | This PDF is the author accepted manuscript of the following paper: https://dx.doi.org/10.4171/prims/57-3-3. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/276266 |
| DOI(出版社版): | 10.4171/prims/57-3-3 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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