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理学院专题学术专题 ∣Lei Song: Inner Projection and Castelnuovo-Mumford Regularity of Structure Sheaves
时间
2021年9月22日(周三)
上午9:30-12:00
地点
西湖大学云栖校区4号楼409-411教室
主持
西湖大学理学院 赵永强/赵以庚 博士
受众
全体师生
分类
学术与研究
理学院专题学术专题 ∣Lei Song: Inner Projection and Castelnuovo-Mumford Regularity of Structure Sheaves
时间:2021年9月22日(周三)上午9:30-12:00
Time:9:30-12:00 AM, September 22, 2021
地点:西湖大学云栖校区4号楼409-411教室
Venue: Room 409-411, Building 4, Yunqi Campus, Westlake University
主持人:西湖大学理学院 赵永强/赵以庚 博士
Host: Dr. Yongqiang Zhao and Dr. Yigeng Zhao, School of Science, Westlake University
主讲嘉宾/Speaker:Prof. Lei Song, Sun Yat-sen University
题目/Title:Inner Projection and Castelnuovo-Mumford Regularity of Structure Sheaves
摘要/Abstract:
Castelnuovo-Mumford regularity in a sense measures the complexity of coherent sheaves on a projective space. A. Noma established a sharp bound for the C-M regularity of structure sheaves of smooth subvarieties. A key tool is his classification of projective subvarieties via generic inner projection. I will explain Noma's classification, and show how blending it with the positivity of double-point divisors and the theory of multiplier ideals leads to the same bound for normal projective varieties with at worst isolated, Q-Gorenstein singularities. By contrast, such a bound fails for varieties in general. This is based on a joint work with J. Moraga and J. Park.
讲座联系人/Contact:
理学院 王老师 wangqiuhui@westlake.edu.cn