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osu1149860529.pdf (235.06 KB)
ETD Abstract Container
Abstract Header
Chern forms of positive vector bundles
Author Info
Guler, Dincer
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1149860529
Abstract Details
Year and Degree
2006, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
In this thesis we consider the problem posed by Griffiths, which asks to determine which polynomials of Chern forms will be always positive for any Griffiths positive vector bundle
E
. Following an idea used in the work of Yau and Zheng, we explore the induced metric on the projectivized bundle, the Grothendieck equation and the push forward of forms and we are able to prove that the signed Segre forms are always positive.
Committee
Fangyang Zheng (Advisor)
Jeffrey McNeal (Other)
Andrzej Derdzinksi (Other)
Pages
51 p.
Subject Headings
Mathematics
Keywords
Chern Forms
;
Positive Vector Bundles
Recommended Citations
Refworks
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RIS
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Citations
Guler, D. (2006).
Chern forms of positive vector bundles
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1149860529
APA Style (7th edition)
Guler, Dincer.
Chern forms of positive vector bundles.
2006. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1149860529.
MLA Style (8th edition)
Guler, Dincer. "Chern forms of positive vector bundles." Doctoral dissertation, Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1149860529
Chicago Manual of Style (17th edition)
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Document number:
osu1149860529
Download Count:
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Copyright Info
© 2006, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.