Singular Rouquier complexes

Patimo, Leonardo

doi:10.1112/plms.12483

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

Singular Rouquier complexes

MPS-Authors

/persons/resource/persons235965

Patimo, Leonardo
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1112/plms.12483
(出版社版)

https://doi.org/10.48550/arXiv.1908.10966
(プレプリント)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

Patimo-Singular Rouquier complexes_2022.pdf
(出版社版), 287KB

付随資料 (公開)

There is no public supplementary material available

引用

Patimo, L. (2022). Singular Rouquier complexes. Proceedings of the London Mathematical Society, 125(6), 1332-1352. doi:10.1112/plms.12483.

引用: https://hdl.handle.net/21.11116/0000-000B-464B-3

要旨

We generalize the construction of Rouquier complexes to the setting of one-sided singular Soergel bimodules. Singular Rouquier complexes are defined by taking
minimal complexes of restricted Rouquier complexes. We show that they retain many of the properties of ordinary Rouquier complexes: they are Δ-split, they satisfy a vanishing formula, and when Soergel’s conjecture holds
they are perverse. As an application, we establish Hodge theory for singular Soergel bimodules.