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The Birational Geometry of K-Moduli Spaces.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	The Birational Geometry of K-Moduli Spaces./
Author:	Keller, Jacob.
Description:	1 online resource (108 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-01, Section: B.
Contained By:	Dissertations Abstracts International86-01B.
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9798383200117

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

The Birational Geometry of K-Moduli Spaces. - 1 online resource (108 pages)

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

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

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798383200117Subjects--Topical Terms:

527692
Mathematics.
Subjects--Index Terms:

Algebraic curvesIndex Terms--Genre/Form:

554714
Electronic books.

The Birational Geometry of K-Moduli Spaces.
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245 1 4 $a The Birational Geometry of K-Moduli Spaces.
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300 $a 1 online resource (108 pages)
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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.
504 $a Includes bibliographical references
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Theoretical mathematics. $3 1180455
653 $a Algebraic curves
653 $a Algebraic geometry
653 $a Fano varieties
653 $a K-stability
653 $a Moduli spaces
653 $a Vector bundles
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, San Diego. $b Mathematics. $3 1466137
773 0 $t Dissertations Abstracts International $g 86-01B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31299622 $z click for full text (PQDT)

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