تقرير
Cohomological stabilization, perverse filtrations, and refined BPS invariants for del Pezzo surfaces
| العنوان: | Cohomological stabilization, perverse filtrations, and refined BPS invariants for del Pezzo surfaces |
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| المؤلفون: | Pi, Weite, Shen, Junliang, Si, Fei, Zhang, Feinuo |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry |
| الوصف: | We prove an asymptotic product formula for the refined BPS invariants associated with a local del Pezzo surface. Our formula governs the cohomological stabilization of the perverse filtration on the intersection cohomology of the moduli space of 1-dimensional semistable sheaves on a del Pezzo surface. Combined with the theory of Fourier transform of Maulik--Shen--Yin, we show that the perverse filtration matches asymptotically with the Chern filtration defined via tautological classes. In the case of the projective plane, our results resolve conjectures of Kononov--Pi--Shen. Comment: Results strengthened, title and authors changed. This version subsumes a major part of arXiv:2406.11512. Comments are welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.10004 |
| رقم الأكسشن: | edsarx.2406.10004 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |