南方科技大学知识苑(SUSTech KC): Semistable models for modular curves and power operations for Morava E-theories of height 2

题名	Semistable models for modular curves and power operations for Morava E-theories of height 2
作者	Zhu, Yifei
通讯作者	Zhu, Yifei
发表日期	2019-10
DOI	10.1016/j.aim.2019.106758
发表期刊	ADVANCES IN MATHEMATICS 影响因子和分区
ISSN	0001-8708
EISSN	1090-2082
卷号	354
摘要	We construct an integral model for Lubin-Tate curves. These curves arise as moduli of finite subgroups of deformations of formal groups. In particular, they are p-adic completions of the modular curves X-0(p) at a mod-p supersingular point. Our model is semistable in the sense that the only singularities of its special fiber are normal crossings. Given this model, we obtain a uniform presentation for the Dyer-Lashof algebras for Morava E-theories of height 2. These algebras are local moduli of power operations in elliptic cohomology. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Power operations Modular curves Elliptic curves Morava E-theories
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	第一 ; 通讯
资助项目	National Natural Science Foundation of China[11701263]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000484644900021
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：3
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/25116
专题	理学院_数学系工学院_材料科学与工程系
作者单位	Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China
第一作者单位	数学系
通讯作者单位	数学系
第一作者的第一单位	数学系
推荐引用方式 GB/T 7714	Zhu, Yifei. Semistable models for modular curves and power operations for Morava E-theories of height 2[J]. ADVANCES IN MATHEMATICS,2019,354.
APA	Zhu, Yifei.(2019).Semistable models for modular curves and power operations for Morava E-theories of height 2.ADVANCES IN MATHEMATICS,354.
MLA	Zhu, Yifei."Semistable models for modular curves and power operations for Morava E-theories of height 2".ADVANCES IN MATHEMATICS 354(2019).