تقرير
Vector fields and admissible embeddings for quiver moduli
| العنوان: | Vector fields and admissible embeddings for quiver moduli |
|---|---|
| المؤلفون: | Belmans, Pieter, Brecan, Ana-Maria, Franzen, Hans, Reineke, Markus |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Representation Theory |
| الوصف: | We introduce a double framing construction for moduli spaces of quiver representations. It allows us to reduce certain sheaf cohomology computations involving the universal representation, to computations involving line bundles, making them amenable to methods from geometric invariant theory. We will use this to show that in many good situations the vector fields on the moduli space are isomorphic as a vector space to the first Hochschild cohomology of the path algebra. We also show that considering the universal representation as a Fourier-Mukai kernel in the appropriate sense gives an admissible embedding of derived categories. Comment: v2: added references, 23 pages, all comments welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.17004 |
| رقم الأكسشن: | edsarx.2311.17004 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |