تقرير
Stable Ulrich bundles on cubic fourfolds
| العنوان: | Stable Ulrich bundles on cubic fourfolds |
|---|---|
| المؤلفون: | Truong, Hoang Le, Yen, Hoang Ngoc |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry |
| الوصف: | In this paper, we give necessary and sufficient conditions for the existence of Ulrich bundles on cubic fourfold $X$ of given rank $r$. As consequences, we show that for every integer $r\ge 2$ there exists a family of indecomposable rank $r$ Ulrich bundles on the certain cubic fourfolds, depending roughly on $r$ parameters, and in particular they are of wild representation type; special surfaces on the cubic fourfolds are explicitly constructed by Macaulay2; a new $19$-dimensional family of projective ten-dimensional irreducible holomorphic symplectic manifolds associated to a certain cubic fourfold is constructed; and for certain cubic fourfold $X$, there exist arithmetically Cohen-Macaulay smooth surface $Y \subset X$ which are not an intersection $X \cap T$ for a codimension two subvariety $T \subset \Bbb P^5$. Comment: 21 pages. Comments welcome! arXiv admin note: text overlap with arXiv:1102.0878, arXiv:1303.2068 by other authors. text overlap with arXiv:2206.04952 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2206.05285 |
| رقم الأكسشن: | edsarx.2206.05285 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |