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Toric Surfaces Over Arbitrary Fields.

Xie, Fei.

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Toric Surfaces Over Arbitrary Fields.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Toric Surfaces Over Arbitrary Fields./
Author:	Xie, Fei.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	44 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
Contained By:	Dissertation Abstracts International78-10B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10286773
ISBN:	9781369852127

Toric Surfaces Over Arbitrary Fields.
Xie, Fei.

Toric Surfaces Over Arbitrary Fields. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 44 p.

Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.

Thesis (Ph.D.)--University of California, Los Angeles, 2017.

We study toric varieties over arbitrary fields with an emphasis on toric surfaces in the Merkurjev-Panin category of "K-motives". We explore the decomposition of certain toric varieties as K-motives into products of central simple algebras (CSA), the geometric and topological information encoded in these CSAs, and the relationship between the decomposition of the K-motive and the semiorthogonal decomposition of the derived category. We obtain the information mentioned above for toric surfaces by classifying all minimal smooth projective toric surfaces.

ISBN: 9781369852127Subjects--Topical Terms:

515831
Mathematics.

Toric Surfaces Over Arbitrary Fields.
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245 1 0 $a Toric Surfaces Over Arbitrary Fields.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 44 p.
500 $a Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
500 $a Adviser: Christian Haesemeyer.
502 $a Thesis (Ph.D.)--University of California, Los Angeles, 2017.
520 $a We study toric varieties over arbitrary fields with an emphasis on toric surfaces in the Merkurjev-Panin category of "K-motives". We explore the decomposition of certain toric varieties as K-motives into products of central simple algebras (CSA), the geometric and topological information encoded in these CSAs, and the relationship between the decomposition of the K-motive and the semiorthogonal decomposition of the derived category. We obtain the information mentioned above for toric surfaces by classifying all minimal smooth projective toric surfaces.
590 $a School code: 0031.
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710 2 $a University of California, Los Angeles. $b Mathematics 0540. $3 2096468
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791 $a Ph.D.
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793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10286773