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Gradient ideals

Liu, Yu-Han
http://rave.ohiolink.edu/etdc/view?acc_num=osu1280803107

Abstract Details

2010, Doctor of Philosophy, Ohio State University, Mathematics.
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.
Herbert Clemens (Advisor)
James Cogdell (Committee Member)
Hsian-Hua Tseng (Committee Member)
91 p.
Mathematics
gradient ideal; symmetric obstruction theory; Hodge locus; multi-gradient ideal

Recommended Citations

Citations

  • Liu, Y.-H. (2010). Gradient ideals [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1280803107

    APA Style (7th edition)

  • Liu, Yu-Han. Gradient ideals. 2010. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1280803107.

    MLA Style (8th edition)

  • Liu, Yu-Han. "Gradient ideals." Doctoral dissertation, Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1280803107

    Chicago Manual of Style (17th edition)

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This open access ETD is published by The Ohio State University and OhioLINK.