تقرير
About Homological Mirror Symmetry
| العنوان: | About Homological Mirror Symmetry |
|---|---|
| المؤلفون: | Imparato, Alessandro |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14J33 (Primary) 18G80, 14F08 (Secondary) |
| الوصف: | The B-side of Kontsevich's Homological Mirror Symmetry Conjecture is discussed. We give first a self-contained study of derived categories and their homological algebra, and later restrict to the bounded derived category of schemes and ultimately Calabi--Yau manifolds, with particular emphasis on the basics of the underlying sheaf theory, and the algebraic features therein. Finally, we loosely discuss the lowest dimensional manifestations of homological mirror symmetry, namely for elliptic curves and $K3$ surfaces. The present work is a sequel to the author's survey "Towards Homological Mirror Symmetry" on the A-side of homological mirror symmetry. Comment: 138 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.13589 |
| رقم الأكسشن: | edsarx.2306.13589 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |