2 options
Torus fibrations of Calabi-Yau hypersurfaces in toric varieties.
- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Zharkov, Ilia Hennadievitch.
- Language:
- English
- Subjects (All):
- Mathematics.
- 0405.
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Local Subjects:
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- 0405.
- Physical Description:
- 43 pages
- Contained In:
- Dissertation Abstracts International 61-03B.
- System Details:
- Mode of access: World Wide Web.
- text file
- Summary:
- We consider regular Calabi-Yau hypersurfaces in N-dimensional smooth toric varieties. On such a hypersurface in the neighborhood of the large complex structure limit point we construct a fibration over a sphere SN-1 whose generic fibers are tori TN-1 . Also for certain one-parameter families of such hypersurfaces we show that the monodromy transformation is induced by a translation of the TN-1 fibration by a section. Finally we construct a dual fibration and provide some evidence that it describes the mirror family.
- Notes:
- Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 2000.
- Source: Dissertation Abstracts International, Volume: 61-03, Section: B, page: 1446.
- Supervisor: Ron Donagi.
- Local Notes:
- School code: 0175.
- ISBN:
- 9780599702158
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.