Please use this identifier to cite or link to this item:
Title: Complex structures on product of circle bundles over compact complex manifolds
Researcher: Thakur, Ajay Singh
Guide(s): Parameswaran, Sankaran
Keywords: Torus
Flag Manifolds
circle bundles
Mathematical Science
Upload Date: 13-Sep-2012
University: Homi Bhabha National Institute
Completed Date: 2011
Abstract: Let _Li _! Xi be a holomorphic line bundle over a compact complex manifold for i = 1; 2. Let Si denote the associated principal circle-bundle with respect to some hermitian inner product on _Li. We construct complex structures on S = S1 _ S2 which we refer to as scalar, diagonal, and linear types. While scalar type structures always exist, diagonal type structures are constructed assuming that _Li are equivariant (C_)ni-bundles satisfying some additional conditions. The linear type complex structures are constructed assuming Xi are (generalized) ag varieties and _Li negative ample line bundles over Xi. When H1(X1;R) = 0 and c1(_L1) 2 H2(X1;R) is non-zero, the compact manifold S does not admit any symplectic structure and hence it is non- K ahler with respect to any complex structure. In the case of diagonal type complex structures on S, we determine their Picard groups and the _eld of meromorphic function when Xi = Gi=Pi where Gi are simple and Pi maximal parabolic subgroups.
Pagination: 64p.
Appears in Departments:Department of Mathematical Sciences

Files in This Item:
File Description SizeFormat 
01_title.pdfAttached File73.59 kBAdobe PDFView/Open
02_certificate.pdf50.36 kBAdobe PDFView/Open
03_declaration.pdf49.29 kBAdobe PDFView/Open
04_abstract.pdf175.37 kBAdobe PDFView/Open
05_acknowledgements.pdf50.32 kBAdobe PDFView/Open
06_contents.pdf148.64 kBAdobe PDFView/Open
07_list of publications.pdf49.07 kBAdobe PDFView/Open
08_chapter 1.pdf219.63 kBAdobe PDFView/Open
09_chapter 2.pdf277.63 kBAdobe PDFView/Open
10_chapter 3.pdf284.38 kBAdobe PDFView/Open
11_chapter 4.pdf245.8 kBAdobe PDFView/Open
12_chapter 5.pdf290.96 kBAdobe PDFView/Open
13_bibliography.pdf106.13 kBAdobe PDFView/Open

Items in Shodhganga are protected by copyright, with all rights reserved, unless otherwise indicated.

Altmetric Badge: