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The Birational Geometry of K-Moduli ...

Keller, Jacob.

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The Birational Geometry of K-Moduli Spaces.

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Birational Geometry of K-Moduli Spaces./
Author:	Keller, Jacob.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2024,
Description:	108 p.
Notes:	Source: Dissertations Abstracts International, Volume: 86-01, Section: B.
Contained By:	Dissertations Abstracts International86-01B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31299622
ISBN:	9798383200117

The Birational Geometry of K-Moduli Spaces.
Keller, Jacob.

The Birational Geometry of K-Moduli Spaces. - Ann Arbor : ProQuest Dissertations & Theses, 2024 - 108 p.

Source: Dissertations Abstracts International, Volume: 86-01, Section: B.

Thesis (Ph.D.)--University of California, San Diego, 2024.

For C a smooth curve and ξ a line bundle on C, the moduli space UC(2, ξ) of semistable vector bundles of rank two and determinant ξ is a Fano variety. We show that UC(2, ξ) is K-stable for a general curve C ∈ Mg. As a consequence, there are irreducible components of the moduli space of K-stable Fano varieties that are birational to Mg. In particular these components are of general type for g ≥ 22.

ISBN: 9798383200117Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Algebraic curves

The Birational Geometry of K-Moduli Spaces.
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100 1 $a Keller, Jacob. $3 3771737
245 1 0 $a The Birational Geometry of K-Moduli Spaces.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2024
300 $a 108 p.
500 $a Source: Dissertations Abstracts International, Volume: 86-01, Section: B.
500 $a Advisor: McKernan, James.
502 $a Thesis (Ph.D.)--University of California, San Diego, 2024.
520 $a For C a smooth curve and ξ a line bundle on C, the moduli space UC(2, ξ) of semistable vector bundles of rank two and determinant ξ is a Fano variety. We show that UC(2, ξ) is K-stable for a general curve C ∈ Mg. As a consequence, there are irreducible components of the moduli space of K-stable Fano varieties that are birational to Mg. In particular these components are of general type for g ≥ 22.
590 $a School code: 0033.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
653 $a Algebraic curves
653 $a Algebraic geometry
653 $a Fano varieties
653 $a K-stability
653 $a Moduli spaces
653 $a Vector bundles
690 $a 0405
690 $a 0642
710 2 $a University of California, San Diego. $b Mathematics. $3 1022364
773 0 $t Dissertations Abstracts International $g 86-01B.
790 $a 0033
791 $a Ph.D.
792 $a 2024
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31299622