Hilbert Polynomials of Certain Pfaffian Ideals

碩士 === 國立中正大學 === 數學研究所 === 89 === In 1992, J. Herzog and N. V. Trung gave a formula for the multiplicity of the pfaffian ideal generated by 2r-pfaffian. In this thesis, we can find all Hilbert coefficients of 4r-pfaffian. The tools we used to prove main theorem in...

Full description

Bibliographic Details
Main Authors: Sheng-Feng Yang, 楊昇峰
Other Authors: Hsin-Ju Wang
Format: Others
Language:en_US
Published: 2001
Online Access:http://ndltd.ncl.edu.tw/handle/93021593010467247986
id ndltd-TW-089CCU00479004
record_format oai_dc
spelling ndltd-TW-089CCU004790042016-07-06T04:10:03Z http://ndltd.ncl.edu.tw/handle/93021593010467247986 Hilbert Polynomials of Certain Pfaffian Ideals 某些斜對稱矩陣的希爾伯特多項式 Sheng-Feng Yang 楊昇峰 碩士 國立中正大學 數學研究所 89 In 1992, J. Herzog and N. V. Trung gave a formula for the multiplicity of the pfaffian ideal generated by 2r-pfaffian. In this thesis, we can find all Hilbert coefficients of 4r-pfaffian. The tools we used to prove main theorem in the thesis are some results from dimension theory of graded ring and basic theory of Grobner Bases. Hsin-Ju Wang 王心如 2001 學位論文 ; thesis 44 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 碩士 === 國立中正大學 === 數學研究所 === 89 === In 1992, J. Herzog and N. V. Trung gave a formula for the multiplicity of the pfaffian ideal generated by 2r-pfaffian. In this thesis, we can find all Hilbert coefficients of 4r-pfaffian. The tools we used to prove main theorem in the thesis are some results from dimension theory of graded ring and basic theory of Grobner Bases.
author2 Hsin-Ju Wang
author_facet Hsin-Ju Wang
Sheng-Feng Yang
楊昇峰
author Sheng-Feng Yang
楊昇峰
spellingShingle Sheng-Feng Yang
楊昇峰
Hilbert Polynomials of Certain Pfaffian Ideals
author_sort Sheng-Feng Yang
title Hilbert Polynomials of Certain Pfaffian Ideals
title_short Hilbert Polynomials of Certain Pfaffian Ideals
title_full Hilbert Polynomials of Certain Pfaffian Ideals
title_fullStr Hilbert Polynomials of Certain Pfaffian Ideals
title_full_unstemmed Hilbert Polynomials of Certain Pfaffian Ideals
title_sort hilbert polynomials of certain pfaffian ideals
publishDate 2001
url http://ndltd.ncl.edu.tw/handle/93021593010467247986
work_keys_str_mv AT shengfengyang hilbertpolynomialsofcertainpfaffianideals
AT yángshēngfēng hilbertpolynomialsofcertainpfaffianideals
AT shengfengyang mǒuxiēxiéduìchēngjǔzhèndexīěrbótèduōxiàngshì
AT yángshēngfēng mǒuxiēxiéduìchēngjǔzhèndexīěrbótèduōxiàngshì
_version_ 1718337026929983488