Deformations of Calabi-Yau hypersurfaces arising from deformations of toric varieties

• 成果类型: Article
• 署名作者: Mavlyutov, AR
• 署名单位: Indiana University System; Indiana University Bloomington
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-004-0362-7
• 发表日期: 2004
• 页码: 621-633
• 关键词: symmetry

摘要

One can deform the complex structure of Calabi-Yau hypersurfaces in toric varieties by changing the coefficients of the defining polynomial. However, there must also exist non-polynomial deformations of the Calabi-Yau hypersurfaces which cannot be realized inside the ambient toric variety. In this paper, we have constructed the missing non-polynomial deformations, which are induced by an automorphism on the open part of the ambient toric variety.