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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 | |
|---|---|---|---|---|
| 978-3-030-23531-4_1.pdf | 183.8 kB | Adobe PDF | 見る/開く |
| タイトル: | Singular Support of a Vertex Algebra and the Arc Space of Its Associated Scheme |
| 著者: | Arakawa, Tomoyuki    https://orcid.org/0000-0002-9020-3498 (unconfirmed)Linshaw, Andrew R. |
| 著者名の別形: | 荒川, 知幸 |
| 発行日: | 2019 |
| 出版者: | Springer Nature Birkhäuser |
| 誌名: | Representations and Nilpotent Orbits of Lie Algebraic Systems |
| 開始ページ: | 1 |
| 終了ページ: | 17 |
| 抄録: | Attached to a vertex algebra V are two geometric objects. The associated scheme of V isthespectrum of Zhu's Poisson algebra Rv.Thesingular support of V is the spectrum of the associated graded algebra gr(V) with respect to Li's canonical decreasing filtration. There is a closed embedding from the singular support to the arc space of the associated scheme, which is an isomorphism in many interesting cases. In this note we give an example of a non-quasi-lisse vertex algebra whose associated scheme is reduced, for which the isomorphism is not true as schemes but true as varieties. |
| 記述: | Book Subtitle: In Honour of the 75th Birthday of Tony Joseph Series Title: Progress in Mathematics (vol. 330) |
| 著作権等: | This PDF is an author's accepted manuscript (AAM) of a chapter published in 'Representations and Nilpotent Orbits of Lie Algebraic Systems'. The final authenticated version is available online at: https://doi.org/10.1007/978-3-030-23531-4_1. The full-text file will be made open to the public on 19 October 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving 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/2433/276268 |
| DOI(出版社版): | 10.1007/978-3-030-23531-4_1 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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