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Author
Title Gradient ideals
URL
Publication Date
Degree PhD
Discipline/Department Mathematics
Degree Level doctoral
University/Publisher The Ohio State University
Abstract The notion of gradient ideals in a power series algebra over a noetherian local ring is defined with basic properties studied. A natural generalization, “multi-gradient ideals”, and the algebra of potential functions associated to an arbitrary ideal are introduced. Classification of multi-gradient ideals is given in the cases of principal ideals and monomial ideals by studying their algebras of potential functions. Abstract examples of non-multi-gradient ideals and geometric examples of multi-gradient ideals are constructed.
Subjects/Keywords Mathematics; gradient ideal; symmetric obstruction theory; Hodge locus; multi-gradient ideal
Contributors Clemens, Herbert (Advisor)
Language en
Rights unrestricted ; This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
Country of Publication us
Format application/pdf
Record ID oai:etd.ohiolink.edu:osu1280803107
Repository ohiolink
Date Indexed 2016-12-22
Grantor The Ohio State University

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