Grassmannians, quintic threefolds, and intersection theory

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 101 === In this thesis, we will investigate the intersection theory of some Grassmannians and the quintic threefolds. We will also introduce the notion of Gromov-Witten invariants, and derive Kontsevich's celebrated formula for the number of plane rational curv...

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Main Authors:	Jeng-PuSung, 宋政蒲
Other Authors:	Wan-Keng Cheong
Format:	Others
Language:	zh-TW
Published:	2013
Online Access:	http://ndltd.ncl.edu.tw/handle/80389744377817264776

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spelling	ndltd-TW-101NCKU55070822016-03-18T04:42:18Z http://ndltd.ncl.edu.tw/handle/80389744377817264776 Grassmannians, quintic threefolds, and intersection theory 格拉斯曼流形、五次三維流形以及相交理論 Jeng-PuSung 宋政蒲碩士國立成功大學數學系應用數學碩博士班 101 In this thesis, we will investigate the intersection theory of some Grassmannians and the quintic threefolds. We will also introduce the notion of Gromov-Witten invariants, and derive Kontsevich's celebrated formula for the number of plane rational curves of degree d passing through 3d-1 general points from the associativity of the big quantum product. Wan-Keng Cheong 章源慶 2013 學位論文 ; thesis 31 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 101 === In this thesis, we will investigate the intersection theory of some Grassmannians and the quintic threefolds. We will also introduce the notion of Gromov-Witten invariants, and derive Kontsevich's celebrated formula for the number of plane rational curves of degree d passing through 3d-1 general points from the associativity of the big quantum product.
author2	Wan-Keng Cheong
author_facet	Wan-Keng Cheong Jeng-PuSung 宋政蒲
author	Jeng-PuSung 宋政蒲
spellingShingle	Jeng-PuSung 宋政蒲 Grassmannians, quintic threefolds, and intersection theory
author_sort	Jeng-PuSung
title	Grassmannians, quintic threefolds, and intersection theory
title_short	Grassmannians, quintic threefolds, and intersection theory
title_full	Grassmannians, quintic threefolds, and intersection theory
title_fullStr	Grassmannians, quintic threefolds, and intersection theory
title_full_unstemmed	Grassmannians, quintic threefolds, and intersection theory
title_sort	grassmannians, quintic threefolds, and intersection theory
publishDate	2013
url	http://ndltd.ncl.edu.tw/handle/80389744377817264776
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Grassmannians, quintic threefolds, and intersection theory

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