تقرير
Higher Du Bois and higher rational singularities of hypersurfaces
| العنوان: | Higher Du Bois and higher rational singularities of hypersurfaces |
|---|---|
| المؤلفون: | Maxim, Laurenţiu, Yang, Ruijie |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Primary: 14J17, Secondary: 32S35, 32S50, 14C17 |
| الوصف: | In this note, we give several equivalent characterizations of higher Du Bois and higher rational singularities in the context of globally defined hypersurfaces. As a key input, we characterize these singularities using the Hodge filtration on the vanishing cycle mixed Hodge module. As an application, we indicate a homological criterion for detecting higher Du Bois and higher rational hypersurface singularities, formulated in terms of the spectral Hirzebruch-Milnor characteristic classes. Comment: v3: Title changed, references added and exposition reorganized; v2: convention of vanishing cycle mixed Hodge module is changed and the proof of Lemma 3.13 is rewritten; v1: 18 pages, comments are welcome! |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2301.09084Test |
| رقم الانضمام: | edsarx.2301.09084 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |