On motivic integration and some of its applications

碩士 === 國立臺灣大學 === 數學研究所 === 95 === In this report, we discuss the topic of arc space and motivic inte-gration , including some important properties such as the formula of changing variable. With this formula we review Kontsevich’s theorem which states that the Hodge number of crepant resolution is i...

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Bibliographic Details
Main Authors:	Chih-Chi Chou, 周致圻
Other Authors:	Jungkai Alfred Chen
Format:	Others
Language:	en_US
Published:	2006
Online Access:	http://ndltd.ncl.edu.tw/handle/51931652794079569183

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spelling	ndltd-TW-095NTU054790012015-12-11T04:04:49Z http://ndltd.ncl.edu.tw/handle/51931652794079569183 On motivic integration and some of its applications 弧空間上的積分理論及應用 Chih-Chi Chou 周致圻碩士國立臺灣大學數學研究所 95 In this report, we discuss the topic of arc space and motivic inte-gration , including some important properties such as the formula of changing variable. With this formula we review Kontsevich’s theorem which states that the Hodge number of crepant resolution is indepen-dent of resolution. Besides, we also review Mustat¸ˇ a’s work that using the knowledge of arc space and motivic integration to give a differ-ent view toward log canonical threshold. At last, Batyrev’s work of proving McKay correspondence is discussed. Jungkai Alfred Chen 陳榮凱 2006 學位論文 ; thesis 40 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立臺灣大學 === 數學研究所 === 95 === In this report, we discuss the topic of arc space and motivic inte-gration , including some important properties such as the formula of changing variable. With this formula we review Kontsevich’s theorem which states that the Hodge number of crepant resolution is indepen-dent of resolution. Besides, we also review Mustat¸ˇ a’s work that using the knowledge of arc space and motivic integration to give a differ-ent view toward log canonical threshold. At last, Batyrev’s work of proving McKay correspondence is discussed.
author2	Jungkai Alfred Chen
author_facet	Jungkai Alfred Chen Chih-Chi Chou 周致圻
author	Chih-Chi Chou 周致圻
spellingShingle	Chih-Chi Chou 周致圻 On motivic integration and some of its applications
author_sort	Chih-Chi Chou
title	On motivic integration and some of its applications
title_short	On motivic integration and some of its applications
title_full	On motivic integration and some of its applications
title_fullStr	On motivic integration and some of its applications
title_full_unstemmed	On motivic integration and some of its applications
title_sort	on motivic integration and some of its applications
publishDate	2006
url	http://ndltd.ncl.edu.tw/handle/51931652794079569183
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On motivic integration and some of its applications

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