تقرير
The generalized roof F(1,2,n): Hodge structures and derived categories
| العنوان: | The generalized roof F(1,2,n): Hodge structures and derived categories |
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| المؤلفون: | Fatighenti, Enrico, Kapustka, Michał, Mongardi, Giovanni, Rampazzo, Marco |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics High Energy Physics - Theory |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, High Energy Physics - Theory, 14J45, 14J81, 14F08, 14C30, 14M15 |
| الوصف: | We consider generalized homogeneous roofs, i.e. quotients of simply connected, semisimple Lie groups by a parabolic subgroup, which admit two projective bundle structures. Given a general hyperplane section on such a variety, we consider the zero loci of its pushforwards along the projective bundle structures and we discuss their properties at the level of Hodge structures. In the case of the flag variety $F(1,2,n)$ with its projections to $\mathbb{P}^{n-1}$ and $G(2, n)$, we construct a derived embedding of the relevant zero loci by methods based on the study of $B$-brane categories in the context of a gauged linear sigma model. Comment: 33 pages. The proof of the derived embedding has been corrected, and the exposition has been improved |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2110.10475 |
| رقم الأكسشن: | edsarx.2110.10475 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |