The motivic nearby fiber and degeneration of stable rationality

• 成果类型: Article
• 署名作者: Nicaise, Johannes; Shinder, Evgeny
• 署名单位: Imperial College London; KU Leuven; University of Sheffield; HSE University (National Research University Higher School of Economics)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-019-00869-2
• 发表日期: 2019
• 页码: 377-413
• 关键词: varieties; factorization; deformations; criteria; SPACES

摘要

We prove that stable rationality specializes in regular families whose fibers are integral and have at most ordinary double points as singularities. Our proof is based on motivic specialization techniques and the criterion of Larsen and Lunts for stable rationality in the Grothendieck ring of varieties.