Report
KSBA compactification of the moduli space of K3 surfaces with purely non-symplectic automorphism of order four
| العنوان: | KSBA compactification of the moduli space of K3 surfaces with purely non-symplectic automorphism of order four |
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| المؤلفون: | Moon, Han-Bom, Schaffler, Luca |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14J10, 14J28, 14D06 |
| الوصف: | We describe a compactification by KSBA stable pairs of the five-dimensional moduli space of K3 surfaces with purely non-symplectic automorphism of order four and $U(2)\oplus D_4^{\oplus2}$ lattice polarization. These K3 surfaces can be realized as the minimal resolution of the double cover of $\mathbb{P}^1\times\mathbb{P}^1$ branched along a specific $(4,4)$ curve. We show that, up to a finite group action, this stable pair compactification is isomorphic to Kirwan's partial desingularization of the GIT quotient $(\mathbb{P}^1)^8//\mathrm{SL}_2$ with the symmetric linearization. Comment: 27 pages, 6 figures. Final version. To appear in Proceedings of the Edinburgh Mathematical Society |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1809.05182 |
| رقم الانضمام: | edsarx.1809.05182 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |