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Uniformization of semistable bundles...

University of California, Berkeley.

Uniformization of semistable bundles on elliptic curves.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Uniformization of semistable bundles on elliptic curves./
作者:	Li, Penghui.
面頁冊數:	1 online resource (63 pages)
附註:	Source: Dissertation Abstracts International, Volume: 78-03(E), Section: B.
Contained By:	Dissertation Abstracts International78-03B(E).
標題:	Mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9781369056181

Uniformization of semistable bundles on elliptic curves.
Li, Penghui.

Uniformization of semistable bundles on elliptic curves. - 1 online resource (63 pages)

Source: Dissertation Abstracts International, Volume: 78-03(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Let G be a connected reductive complex algebraic group, and E a complex elliptic curve. Let GE denote the connected component of the trivial bundle in the stack of semistable G-bundles on E. We introduce a complex analytic uniformization of GE by adjoint quotients of reductive subgroups of the loop group of G. This can be viewed as a nonabelian version of the classical complex analytic uniformization E&sime; C*/qZ. We similarly construct a complex analytic uniformization of G itself via the exponential map, providing a nonabelian version of the standard isomorphism C* &sime; C/Z, and a complex analytic uniformization of GE generalizing the standard presentation E = C/(Z &oplus; Ztau). Finally, we apply these results to the study of sheaves with nilpotent singular support.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369056181Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Uniformization of semistable bundles on elliptic curves.
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035 $a (MiAaPQ)berkeley:15997
035 $a AAI10150853
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Li, Penghui. $3 1180509
245 1 0 $a Uniformization of semistable bundles on elliptic curves.
264 0 $c 2016
300 $a 1 online resource (63 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-03(E), Section: B.
500 $a Adviser: David Nadler.
502 $a Thesis (Ph.D.) $c University of California, Berkeley $d 2016.
504 $a Includes bibliographical references
520 $a Let G be a connected reductive complex algebraic group, and E a complex elliptic curve. Let GE denote the connected component of the trivial bundle in the stack of semistable G-bundles on E. We introduce a complex analytic uniformization of GE by adjoint quotients of reductive subgroups of the loop group of G. This can be viewed as a nonabelian version of the classical complex analytic uniformization E&sime; C*/qZ. We similarly construct a complex analytic uniformization of G itself via the exponential map, providing a nonabelian version of the standard isomorphism C* &sime; C/Z, and a complex analytic uniformization of GE generalizing the standard presentation E = C/(Z &oplus; Ztau). Finally, we apply these results to the study of sheaves with nilpotent singular support.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Theoretical mathematics. $3 1180455
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0642
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of California, Berkeley. $b Mathematics. $3 1180510
773 0 $t Dissertation Abstracts International $g 78-03B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10150853 $z click for full text (PQDT)

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