تقرير
Pfaffian representations of cubic threefolds
| العنوان: | Pfaffian representations of cubic threefolds |
|---|---|
| المؤلفون: | Comaschi, Gaia |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry |
| الوصف: | Given a cubic hypersurface $X\subset \mathbb{P}^4$, we study the existence of Pfaffian representations of $X$, namely of $6\times 6$ skew-symmetric matrices of linear forms $M$ such that $X$ is defined by the equation $Pf(M)=0$. It was known that such a matrix always exists whenever $X$ is smooth. Here we prove that the same holds whenever $X$ is singular, hence that every cubic threefold is Pfaffian. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2005.06593 |
| رقم الأكسشن: | edsarx.2005.06593 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |