تقرير
Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds
| العنوان: | Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds |
|---|---|
| المؤلفون: | Iritani, Hiroshi |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics High Energy Physics - Theory |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, High Energy Physics - Theory, Mathematics - Symplectic Geometry |
| الوصف: | The mirror symmetric Gamma conjecture roughly speaking says that the Gamma class of a manifold determines the asymptotics of (exponential) periods of the mirror. We recast the method in [Iri11] in a more general context and show that the mirror symmetric Gamma conjecture for a Fano manifold F implies, via Laplace transformation, that for the total space K_F of the canonical bundle or for anticanonical sections in F. More generally, we discuss the mirror symmetric Gamma conjecture for the total space of a sum of anti-nef line bundles over F or for nef complete intersections in F. Comment: 16 pages, no figure, submitted to the proceedings of the online Nottingham algebraic geometry seminar |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.15940 |
| رقم الأكسشن: | edsarx.2307.15940 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |