The basic theory of varieties in algebraic geometry

Simple item page
dc.contributor.advisorIngalls, Colin
dc.contributor.authorAlmohammadi, Rasha
dc.date.accessioned2023-03-01T16:32:04Z
dc.date.available2023-03-01T16:32:04Z
dc.date.issued2016
dc.date.updated2020-04-03T00:00:00Z
dc.description.abstractIn algebraic geometry, a variety is a set of zeroes of a set of polynomial equations in an arbitrary finite number of variables. The order reversing correspondence between varieties and ideals establishes a bridge between the algebraic nature of polynomial rings and the geometry of affine varieties. For algebraically closed fields, Hilbert's Nullstellensatz states that this order reversing correspondence restricts to a one-to-one correspondence between varieties and radical ideals, between irreducible varieties and prime ideals, and between points and maximal ideals. In this work, we shall discuss affine varieties, the Zariski topology (the topology where the closed sets are the affine varieties), coordinate rings, and morphisms between varieties.
dc.description.copyright© Rasha Almohammadi , 2016
dc.description.noteA REPORT SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE In the Graduate Academic Unit of Math and Stats. Electronic Only.
dc.description.noteM.Sc. University of New Brunswick, Department of Mathematics and Statistics, 2016.
dc.formattext/xml
dc.format.extentiii, 36 pages ; illustration
dc.format.mediumelectronic
dc.identifier.oclc(OCoLC)1148468569
dc.identifier.otherThesis 9878
dc.identifier.urihttps://unbscholar.lib.unb.ca/handle/1882/14052
dc.language.isoen_CA
dc.publisherUniversity of New Brunswick
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.disciplineMathematics and Statistics
dc.subject.lcshGeometry, Algebraic.
dc.subject.lcshAlgebraic varieties.
dc.titleThe basic theory of varieties in algebraic geometry
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.fullnameMaster of Science
thesis.degree.grantorUniversity of New Brunswick
thesis.degree.levelmasters
thesis.degree.nameM.Sc.

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
item.pdf
Size:
246.01 KB
Format:
Adobe Portable Document Format
Download

Collections

Open Theses & Dissertations