東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Existence and Rigidity of Calabi-Yau...

Chen, Jingyue.

Linked to FindBook

Google Book

Amazon

博客來

Existence and Rigidity of Calabi-Yau Bundles.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Existence and Rigidity of Calabi-Yau Bundles./
Author:	Chen, Jingyue.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2015,
Description:	70 p.
Notes:	Source: Dissertation Abstracts International, Volume: 76-09(E), Section: B.
Contained By:	Dissertation Abstracts International76-09B(E).
Subject:	Mathematics. -
Online resource:	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.
LDR:01699nmm a2200289 4500 001 2119848
005 20170622092922.5
008 180830s2015 ||||||||||||||||| ||eng d
020 $a 9781321750621
035 $a (MiAaPQ)AAI3703315
035 $a AAI3703315
040 $a MiAaPQ $c MiAaPQ
100 1 $a Chen, Jingyue. $3 3281744
245 1 0 $a Existence and Rigidity of Calabi-Yau Bundles.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2015
300 $a 70 p.
500 $a Source: Dissertation Abstracts International, Volume: 76-09(E), Section: B.
500 $a Adviser: Bong H. Lian.
502 $a Thesis (Ph.D.)--Brandeis University, 2015.
520 $a 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.
590 $a School code: 0021.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
690 $a 0405
690 $a 0642
710 2 $a Brandeis University. $b Mathematics. $3 1285724
773 0 $t Dissertation Abstracts International $g 76-09B(E).
790 $a 0021
791 $a Ph.D.
792 $a 2015
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3703315