Abstract/Details

Toric ideals and discriminants in codimensions greater than two


2005 2005

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Abstract (summary)

In this dissertation we investigate discriminants and toric ideals in codimensions greater than two. We show that for sufficiently large dimensions, there are toric ideals that do not contain complete intersections, in any codimension. We then prove a specialization theorem for the A-discriminant, and use this to classify dual defect toric varieties in codimensions 3 and 4.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Codimensions; Discriminants; Toric ideals
Title
Toric ideals and discriminants in codimensions greater than two
Author
Curran, Raymond P.
Number of pages
79
Publication year
2005
Degree date
2005
School code
0118
Source
DAI-B 66/06, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780542197543, 0542197545
Advisor
Cattani, Eduardo
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3179868
ProQuest document ID
304997112
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304997112
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