K3 surfaces with non-symplectic automorphisms of order three and Calabi-Yau orbifolds

详细信息    查看全文

• 作者：Frank Reidegeld ^{frank.reidegeld@math.tu-dortmund.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：14J32 ; 14J28 ; 53C55
• 刊名：Differential Geometry and its Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：43
• 期：Complete
• 页码：60-67
• 全文大小：292 K

文摘

Let S be a K3 surface that admits a non-symplectic automorphism ρ   of order 3. We divide S×P¹$S\times {\mathbb{P}}^1$ by ρ×ψ$\rho \times \psi$ where ψ   is an automorphism of order 3 of P¹${\mathbb{P}}^1$. There exists a ramified cover of a partial crepant resolution of the quotient that is a Calabi–Yau orbifold. We compute the Euler characteristic of our examples and obtain values ranging from 30 to 219.