تقرير
Choices of HKR isomorphisms
| العنوان: | Choices of HKR isomorphisms |
|---|---|
| المؤلفون: | Robalo, Marco |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, Mathematics - Number Theory, Mathematics - Quantum Algebra |
| الوصف: | In this short note we record the fact that the set of multiplicative HKR natural equivalences defined simultaneously for all derived schemes, functorialy splitting the HKR-filtration and rendering the circle action compatible with the de Rham differential, is, via Cartier duality, in a natural bijection with the set of filtered formal exponential maps $ \widehat{\mathbb{G}_a}\to \widehat{\mathbb{G}_m}$. In particular, when the base $k$ is a field of characteristic zero, the set of choices is $k^\ast$. Comment: 8 pages, Comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.05859 |
| رقم الأكسشن: | edsarx.2310.05859 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |