تقرير
Singular symplectic surfaces
| العنوان: | Singular symplectic surfaces |
|---|---|
| المؤلفون: | Garbagnati, Alice, Penegini, Matteo, Perego, Arvid |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14B05, 14J28, 14J42, (14E20, 14N20) |
| الوصف: | In this paper we classify all singular irreducible symplectic surfaces, i.e., compact, connected complex surfaces with canonical singularities that have a holomorphic symplectic form $\sigma$ on the smooth locus, and for which every finite quasi-\'etale covering has the algebra of reflexive forms spanned by the reflexive pull-back of $\sigma$. We moreover prove that the Hilbert scheme of two points on such a surface $X$ is an irreducible symplectic variety, at least in the case where the smooth locus of $X$ is simply connected. Comment: 41 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.21173 |
| رقم الأكسشن: | edsarx.2407.21173 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |