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Algorithmic Methods in the Construction of General Neron Desingularization

Thesis Info

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Author

Khalid, Asma.

Program

PhD

Institute

Government College University Lahore

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/9483/1/Asma_Khalid_Maths_2018_GCU_lahore_18.07.2018.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725451932

Similar


Let A ! A0 be a regular morphism of Noetherian rings,any A-morphism v : B ! A0 with B an A-algebra of finite type,factors through a smooth A-algebra C, that is v is a composite A-morphism B ! C ! A0. The A-algebra C is called a General Neron Desingularization. In this thesis we give a uniform General Neron Desingularization for one dimen- sional local rings with respect to morphisms which coincide modulo a high power of themaximalideal.TheresulthasinterestingapplicationsinthecaseofCohen- Macaulay rings. Moreover, as our another contribution,we give an easy proof of the General Neron Desingularization in the frame of regular morphisms between Artinianlocal rings and Noetherian local rings of dimension one. We also give algorithms to construct theN´eron Desingularization in different cases.
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