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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/10751
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???org.dspace.app.webui.jsptag.ItemTag.dcfield???ValueLanguage
dc.contributor.advisor陳其誠
dc.contributor.authorYen-Ying Leeen
dc.contributor.author李彥穎zh_TW
dc.date.accessioned2021-05-20T21:55:35Z-
dc.date.available2010-07-29
dc.date.available2021-05-20T21:55:35Z-
dc.date.copyright2010-07-29
dc.date.issued2010
dc.date.submitted2010-07-26
dc.identifier.citation[1] J. Coates and R. Greenberg: Kummer theory for abelian varieties over local fields, Invent. Math. 124(1996), 129-174
[2] B. Mazur: Rational points of abelian varieties with values in towers of number fields, Invent. Math. 18(1972), 183-266.
[3] J.-P. Serre: Corps Locaux. Hermann, 1968
[4] S. Sen: Ramification in p-adic Lie extensions, Invent. Math. 17(1972), 44-50
[5] K.-S. Tan: A Generalized Mazur’s theorem and its applications, to appear in Transactions of AMS.
[6] K.-S. Tan: Selmer groups over Zd p-extensions, manuscript 2010.
[7] J. Tate: p-divisible group In:“Proceeding of a conference on local field (Driebergen, 1966)”, Springer(1967), 158-183
[8] J. F. Voloch: Diophantine approximation on abelian variety in characteristic p, American J. of Math. 117(1995), 1089-1095
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/10751-
dc.description.abstract本篇論文主要是探討局部體上形式群的跡映射的性質,以及它在阿貝爾簇上的應用。zh_TW
dc.description.abstractIn this paper, we discuss properties of trace maps for formal groups over local field and their application to abelian varieties.en
dc.description.provenanceMade available in DSpace on 2021-05-20T21:55:35Z (GMT). No. of bitstreams: 1
ntu-99-R97221015-1.pdf: 282715 bytes, checksum: b97294f844008aabdacad87f8603c738 (MD5)
Previous issue date: 2010
en
dc.description.tableofcontents1 Introduction 1
2 Deeply Ramied Extension 3
2.1 Ramification groups 3
2.2 The different and the conductor 5
2.3 Deeply ramified extensions and trace maps 8
3 Formal Groups and Trace Maps 16
3.1 Formal groups 17
3.2 Trace maps 17
4 An Application to Abelian Varieties 21
dc.language.isoen
dc.title局部體上形式群之跡映射zh_TW
dc.titleTrace Maps for Formal Groups over Local Fieldsen
dc.typeThesis
dc.date.schoolyear98-2
dc.description.degree碩士
dc.contributor.oralexamcommittee陳燕美,謝銘倫
dc.subject.keyword跡映射,形式群,局部體,阿貝爾簇,zh_TW
dc.subject.keywordtrace map,formal group,local field,abelian variety,en
dc.relation.page23
dc.rights.note同意授權(全球公開)
dc.date.accepted2010-07-27
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept數學研究所zh_TW
Appears in Collections:數學系

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