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Existence and Rigidity of Calabi-Yau...

Chen, Jingyue.

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Existence and Rigidity of Calabi-Yau Bundles.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Existence and Rigidity of Calabi-Yau Bundles./
作者:	Chen, Jingyue.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2015,
面頁冊數:	70 p.
附註:	Source: Dissertation Abstracts International, Volume: 76-09(E), Section: B.
Contained By:	Dissertation Abstracts International76-09B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3703315
ISBN:	9781321750621

Existence and Rigidity of Calabi-Yau Bundles.
Chen, Jingyue.

Existence and Rigidity of Calabi-Yau Bundles. - Ann Arbor : ProQuest Dissertations & Theses, 2015 - 70 p.

Source: Dissertation Abstracts International, Volume: 76-09(E), Section: B.

Thesis (Ph.D.)--Brandeis University, 2015.

A Calabi-Yau (CY) bundle on a compact complex manifold X was a crucial ingredient in constructing differential systems for period integrals in [LY], by lifting line bundles from the base X to the total space. A question was therefore raised as to whether there exists such a bundle that supports the liftings of all line bundles from X, simultaneously. This was a key step for giving a uniform construction of differential systems for arbitrary complete intersections in X. In this dissertation, the existence question is answered in the affirmative if X is assumed to be Kahler, and also in general if the Picard group of X is assumed to be free. Furthermore, a rigidity property of CY bundles is proved if the principal group is an algebraic torus, showing that such a CY bundle is essentially determined by its character map.

ISBN: 9781321750621Subjects--Topical Terms:

515831
Mathematics.

Existence and Rigidity of Calabi-Yau Bundles.
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