تقرير
Small modifications of Mori dream spaces arising from ${\mathbb C}^*$-actions
| العنوان: | Small modifications of Mori dream spaces arising from ${\mathbb C}^*$-actions |
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| المؤلفون: | Occhetta, Gianluca, Romano, Eleonora A., Conde, Luis E. Solá, Wiśniewski, Jarosław A. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Primary 14L30, Secondary 14E30, 14L24, 14M17 |
| الوصف: | We link small modifications of projective varieties with a ${\mathbb C}^*$-action to their GIT quotients. Namely, using flips with centers in closures of Bia{\l}ynicki-Birula cells, we produce a system of birational equivariant modifications of the original variety, which includes those on which a quotient map extends from a set of semistable points to a regular morphism. The structure of the modifications is completely described for the blowup along the sink and the source of smooth varieties with Picard number one with a ${\mathbb C}^*$-action which has no finite isotropy for any point. Examples can be constructed upon homogeneous varieties with a ${\mathbb C}^*$-action associated to short grading of their Lie algebras. Comment: 29 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2103.07209 |
| رقم الأكسشن: | edsarx.2103.07209 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |